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Finding the Fourth Proportional to 560.46, 774.38 and 540.74

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Solution

The fourth proportional to 560.46, 774.38 and 540.74 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 774.38 = 540.74 : x
  2. Step 2: Convert to fraction form
    560.46/774.38 = 540.74/x
  3. Step 3: Cross multiply
    560.46x = 774.38 × 540.74
  4. Step 4: Simplify right side
    560.46x = 418,738.24
  5. Step 5: Solve for x
    x = 418,738.24/560.46
  6. Step 6: Final answer
    x = 747.13

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Why These Related Problems?

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