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Finding the Fourth Proportional to 619.92, 929.24 and 510.56

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Solution

The fourth proportional to 619.92, 929.24 and 510.56 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.92 : 929.24 = 510.56 : x
  2. Step 2: Convert to fraction form
    619.92/929.24 = 510.56/x
  3. Step 3: Cross multiply
    619.92x = 929.24 × 510.56
  4. Step 4: Simplify right side
    619.92x = 474,432.77
  5. Step 5: Solve for x
    x = 474,432.77/619.92
  6. Step 6: Final answer
    x = 765.31

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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.