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Finding the Fourth Proportional to 624.70, 934.31 and 509.88

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Solution

The fourth proportional to 624.70, 934.31 and 509.88 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 934.31 = 509.88 : x
  2. Step 2: Convert to fraction form
    624.70/934.31 = 509.88/x
  3. Step 3: Cross multiply
    624.70x = 934.31 × 509.88
  4. Step 4: Simplify right side
    624.70x = 476,385.98
  5. Step 5: Solve for x
    x = 476,385.98/624.70
  6. Step 6: Final answer
    x = 762.58

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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.