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Finding the Fourth Proportional to 624.18, 935.10 and 469.20

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Solution

The fourth proportional to 624.18, 935.10 and 469.20 is: 702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.18 : 935.10 = 469.20 : x
  2. Step 2: Convert to fraction form
    624.18/935.10 = 469.20/x
  3. Step 3: Cross multiply
    624.18x = 935.10 × 469.20
  4. Step 4: Simplify right side
    624.18x = 438,748.92
  5. Step 5: Solve for x
    x = 438,748.92/624.18
  6. Step 6: Final answer
    x = 702.92

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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.