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Finding the Fourth Proportional to 592.82, 887.96 and 284.21

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Solution

The fourth proportional to 592.82, 887.96 and 284.21 is: 425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.82 : 887.96 = 284.21 : x
  2. Step 2: Convert to fraction form
    592.82/887.96 = 284.21/x
  3. Step 3: Cross multiply
    592.82x = 887.96 × 284.21
  4. Step 4: Simplify right side
    592.82x = 252,366.71
  5. Step 5: Solve for x
    x = 252,366.71/592.82
  6. Step 6: Final answer
    x = 425.71

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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.