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Finding the Fourth Proportional to 375.30, 562.52 and 283.70

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Solution

The fourth proportional to 375.30, 562.52 and 283.70 is: 425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 562.52 = 283.70 : x
  2. Step 2: Convert to fraction form
    375.30/562.52 = 283.70/x
  3. Step 3: Cross multiply
    375.30x = 562.52 × 283.70
  4. Step 4: Simplify right side
    375.30x = 159,586.92
  5. Step 5: Solve for x
    x = 159,586.92/375.30
  6. Step 6: Final answer
    x = 425.22

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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.