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Finding the Fourth Proportional to 592.24, 882.28 and 565.58

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Solution

The fourth proportional to 592.24, 882.28 and 565.58 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 882.28 = 565.58 : x
  2. Step 2: Convert to fraction form
    592.24/882.28 = 565.58/x
  3. Step 3: Cross multiply
    592.24x = 882.28 × 565.58
  4. Step 4: Simplify right side
    592.24x = 498,999.92
  5. Step 5: Solve for x
    x = 498,999.92/592.24
  6. Step 6: Final answer
    x = 842.56

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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.