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Finding the Fourth Proportional to 592.61, 882.41 and 586.08

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Solution

The fourth proportional to 592.61, 882.41 and 586.08 is: 872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.61 : 882.41 = 586.08 : x
  2. Step 2: Convert to fraction form
    592.61/882.41 = 586.08/x
  3. Step 3: Cross multiply
    592.61x = 882.41 × 586.08
  4. Step 4: Simplify right side
    592.61x = 517,159.92
  5. Step 5: Solve for x
    x = 517,159.92/592.61
  6. Step 6: Final answer
    x = 872.69

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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.