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Finding the Fourth Proportional to 592.12, 887.48 and 284.08

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Solution

The fourth proportional to 592.12, 887.48 and 284.08 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 887.48 = 284.08 : x
  2. Step 2: Convert to fraction form
    592.12/887.48 = 284.08/x
  3. Step 3: Cross multiply
    592.12x = 887.48 × 284.08
  4. Step 4: Simplify right side
    592.12x = 252,115.32
  5. Step 5: Solve for x
    x = 252,115.32/592.12
  6. Step 6: Final answer
    x = 425.78

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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.