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Finding the Fourth Proportional to 538.84, 806.10 and 469.72

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Solution

The fourth proportional to 538.84, 806.10 and 469.72 is: 702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 806.10 = 469.72 : x
  2. Step 2: Convert to fraction form
    538.84/806.10 = 469.72/x
  3. Step 3: Cross multiply
    538.84x = 806.10 × 469.72
  4. Step 4: Simplify right side
    538.84x = 378,641.29
  5. Step 5: Solve for x
    x = 378,641.29/538.84
  6. Step 6: Final answer
    x = 702.70

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