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Finding the Fourth Proportional to 560.60, 773.34 and 364.22

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Solution

The fourth proportional to 560.60, 773.34 and 364.22 is: 502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.60 : 773.34 = 364.22 : x
  2. Step 2: Convert to fraction form
    560.60/773.34 = 364.22/x
  3. Step 3: Cross multiply
    560.60x = 773.34 × 364.22
  4. Step 4: Simplify right side
    560.60x = 281,665.89
  5. Step 5: Solve for x
    x = 281,665.89/560.60
  6. Step 6: Final answer
    x = 502.44

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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.