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Finding the Fourth Proportional to 592.11, 881.67 and 585.58

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Solution

The fourth proportional to 592.11, 881.67 and 585.58 is: 871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.11 : 881.67 = 585.58 : x
  2. Step 2: Convert to fraction form
    592.11/881.67 = 585.58/x
  3. Step 3: Cross multiply
    592.11x = 881.67 × 585.58
  4. Step 4: Simplify right side
    592.11x = 516,288.32
  5. Step 5: Solve for x
    x = 516,288.32/592.11
  6. Step 6: Final answer
    x = 871.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.