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Finding the Fourth Proportional to 375.58, 562.78 and 284.21

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Solution

The fourth proportional to 375.58, 562.78 and 284.21 is: 425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.58 : 562.78 = 284.21 : x
  2. Step 2: Convert to fraction form
    375.58/562.78 = 284.21/x
  3. Step 3: Cross multiply
    375.58x = 562.78 × 284.21
  4. Step 4: Simplify right side
    375.58x = 159,947.70
  5. Step 5: Solve for x
    x = 159,947.70/375.58
  6. Step 6: Final answer
    x = 425.87

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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.