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Finding the Fourth Proportional to 598.67, 826.21 and 333.19

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Solution

The fourth proportional to 598.67, 826.21 and 333.19 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 826.21 = 333.19 : x
  2. Step 2: Convert to fraction form
    598.67/826.21 = 333.19/x
  3. Step 3: Cross multiply
    598.67x = 826.21 × 333.19
  4. Step 4: Simplify right side
    598.67x = 275,284.91
  5. Step 5: Solve for x
    x = 275,284.91/598.67
  6. Step 6: Final answer
    x = 459.83

Related Problems

Find fourth proportional to 299.34, 413.11 and 166.60
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.