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Finding the Fourth Proportional to 592.15, 885.61 and 527.62

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Solution

The fourth proportional to 592.15, 885.61 and 527.62 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.15 : 885.61 = 527.62 : x
  2. Step 2: Convert to fraction form
    592.15/885.61 = 527.62/x
  3. Step 3: Cross multiply
    592.15x = 885.61 × 527.62
  4. Step 4: Simplify right side
    592.15x = 467,265.55
  5. Step 5: Solve for x
    x = 467,265.55/592.15
  6. Step 6: Final answer
    x = 789.10

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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.