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Finding the Fourth Proportional to 624.99, 938.09 and 462.18

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Solution

The fourth proportional to 624.99, 938.09 and 462.18 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.99 : 938.09 = 462.18 : x
  2. Step 2: Convert to fraction form
    624.99/938.09 = 462.18/x
  3. Step 3: Cross multiply
    624.99x = 938.09 × 462.18
  4. Step 4: Simplify right side
    624.99x = 433,566.44
  5. Step 5: Solve for x
    x = 433,566.44/624.99
  6. Step 6: Final answer
    x = 693.72

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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.