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Finding the Fourth Proportional to 742.67, 1,114.23 and 332.15

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Solution

The fourth proportional to 742.67, 1,114.23 and 332.15 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.67 : 1,114.23 = 332.15 : x
  2. Step 2: Convert to fraction form
    742.67/1,114.23 = 332.15/x
  3. Step 3: Cross multiply
    742.67x = 1,114.23 × 332.15
  4. Step 4: Simplify right side
    742.67x = 370,092.50
  5. Step 5: Solve for x
    x = 370,092.50/742.67
  6. Step 6: Final answer
    x = 498.33

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.