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Finding the Fourth Proportional to 374.29, 560.90 and 363.22

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Solution

The fourth proportional to 374.29, 560.90 and 363.22 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.29 : 560.90 = 363.22 : x
  2. Step 2: Convert to fraction form
    374.29/560.90 = 363.22/x
  3. Step 3: Cross multiply
    374.29x = 560.90 × 363.22
  4. Step 4: Simplify right side
    374.29x = 203,729.60
  5. Step 5: Solve for x
    x = 203,729.60/374.29
  6. Step 6: Final answer
    x = 544.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.