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Finding the Fourth Proportional to 560.34, 773.28 and 363.78

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Solution

The fourth proportional to 560.34, 773.28 and 363.78 is: 502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 773.28 = 363.78 : x
  2. Step 2: Convert to fraction form
    560.34/773.28 = 363.78/x
  3. Step 3: Cross multiply
    560.34x = 773.28 × 363.78
  4. Step 4: Simplify right side
    560.34x = 281,303.80
  5. Step 5: Solve for x
    x = 281,303.80/560.34
  6. Step 6: Final answer
    x = 502.02

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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.