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Finding the Fourth Proportional to 624.36, 934.32 and 521.76

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Solution

The fourth proportional to 624.36, 934.32 and 521.76 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 934.32 = 521.76 : x
  2. Step 2: Convert to fraction form
    624.36/934.32 = 521.76/x
  3. Step 3: Cross multiply
    624.36x = 934.32 × 521.76
  4. Step 4: Simplify right side
    624.36x = 487,490.80
  5. Step 5: Solve for x
    x = 487,490.80/624.36
  6. Step 6: Final answer
    x = 780.78

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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.