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Finding the Fourth Proportional to 375.79, 562.62 and 284.20

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Solution

The fourth proportional to 375.79, 562.62 and 284.20 is: 425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.79 : 562.62 = 284.20 : x
  2. Step 2: Convert to fraction form
    375.79/562.62 = 284.20/x
  3. Step 3: Cross multiply
    375.79x = 562.62 × 284.20
  4. Step 4: Simplify right side
    375.79x = 159,896.60
  5. Step 5: Solve for x
    x = 159,896.60/375.79
  6. Step 6: Final answer
    x = 425.49

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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.