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Finding the Fourth Proportional to 375.22, 562.56 and 294.22

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Solution

The fourth proportional to 375.22, 562.56 and 294.22 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.22 : 562.56 = 294.22 : x
  2. Step 2: Convert to fraction form
    375.22/562.56 = 294.22/x
  3. Step 3: Cross multiply
    375.22x = 562.56 × 294.22
  4. Step 4: Simplify right side
    375.22x = 165,516.40
  5. Step 5: Solve for x
    x = 165,516.40/375.22
  6. Step 6: Final answer
    x = 441.12

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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.