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Finding the Fourth Proportional to 592.26, 887.46 and 284.10

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Solution

The fourth proportional to 592.26, 887.46 and 284.10 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.26 : 887.46 = 284.10 : x
  2. Step 2: Convert to fraction form
    592.26/887.46 = 284.10/x
  3. Step 3: Cross multiply
    592.26x = 887.46 × 284.10
  4. Step 4: Simplify right side
    592.26x = 252,127.39
  5. Step 5: Solve for x
    x = 252,127.39/592.26
  6. Step 6: Final answer
    x = 425.70

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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.