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Finding the Fourth Proportional to 372.22, 557.41 and 314.81

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Solution

The fourth proportional to 372.22, 557.41 and 314.81 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.22 : 557.41 = 314.81 : x
  2. Step 2: Convert to fraction form
    372.22/557.41 = 314.81/x
  3. Step 3: Cross multiply
    372.22x = 557.41 × 314.81
  4. Step 4: Simplify right side
    372.22x = 175,478.24
  5. Step 5: Solve for x
    x = 175,478.24/372.22
  6. Step 6: Final answer
    x = 471.44

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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.