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Finding the Fourth Proportional to 591.24, 881.69 and 577.27

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Solution

The fourth proportional to 591.24, 881.69 and 577.27 is: 860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 881.69 = 577.27 : x
  2. Step 2: Convert to fraction form
    591.24/881.69 = 577.27/x
  3. Step 3: Cross multiply
    591.24x = 881.69 × 577.27
  4. Step 4: Simplify right side
    591.24x = 508,970.26
  5. Step 5: Solve for x
    x = 508,970.26/591.24
  6. Step 6: Final answer
    x = 860.85

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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.