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Finding the Fourth Proportional to 333.29, 459.60 and 313.70

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Solution

The fourth proportional to 333.29, 459.60 and 313.70 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.29 : 459.60 = 313.70 : x
  2. Step 2: Convert to fraction form
    333.29/459.60 = 313.70/x
  3. Step 3: Cross multiply
    333.29x = 459.60 × 313.70
  4. Step 4: Simplify right side
    333.29x = 144,176.52
  5. Step 5: Solve for x
    x = 144,176.52/333.29
  6. Step 6: Final answer
    x = 432.59

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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.