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Finding the Fourth Proportional to 502.61, 757.67 and 469.16

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Solution

The fourth proportional to 502.61, 757.67 and 469.16 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.61 : 757.67 = 469.16 : x
  2. Step 2: Convert to fraction form
    502.61/757.67 = 469.16/x
  3. Step 3: Cross multiply
    502.61x = 757.67 × 469.16
  4. Step 4: Simplify right side
    502.61x = 355,465.84
  5. Step 5: Solve for x
    x = 355,465.84/502.61
  6. Step 6: Final answer
    x = 707.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.