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Finding the Fourth Proportional to 375.18, 562.86 and 314.70

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Solution

The fourth proportional to 375.18, 562.86 and 314.70 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.18 : 562.86 = 314.70 : x
  2. Step 2: Convert to fraction form
    375.18/562.86 = 314.70/x
  3. Step 3: Cross multiply
    375.18x = 562.86 × 314.70
  4. Step 4: Simplify right side
    375.18x = 177,132.04
  5. Step 5: Solve for x
    x = 177,132.04/375.18
  6. Step 6: Final answer
    x = 472.13

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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.