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Finding the Fourth Proportional to 624.98, 936.57 and 459.15

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Solution

The fourth proportional to 624.98, 936.57 and 459.15 is: 688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.98 : 936.57 = 459.15 : x
  2. Step 2: Convert to fraction form
    624.98/936.57 = 459.15/x
  3. Step 3: Cross multiply
    624.98x = 936.57 × 459.15
  4. Step 4: Simplify right side
    624.98x = 430,023.12
  5. Step 5: Solve for x
    x = 430,023.12/624.98
  6. Step 6: Final answer
    x = 688.06

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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.