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Finding the Fourth Proportional to 560.69, 773.01 and 460.73

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Solution

The fourth proportional to 560.69, 773.01 and 460.73 is: 635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.69 : 773.01 = 460.73 : x
  2. Step 2: Convert to fraction form
    560.69/773.01 = 460.73/x
  3. Step 3: Cross multiply
    560.69x = 773.01 × 460.73
  4. Step 4: Simplify right side
    560.69x = 356,148.90
  5. Step 5: Solve for x
    x = 356,148.90/560.69
  6. Step 6: Final answer
    x = 635.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.