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Finding the Fourth Proportional to 586.29, 874.87 and 582.24

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Solution

The fourth proportional to 586.29, 874.87 and 582.24 is: 868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 874.87 = 582.24 : x
  2. Step 2: Convert to fraction form
    586.29/874.87 = 582.24/x
  3. Step 3: Cross multiply
    586.29x = 874.87 × 582.24
  4. Step 4: Simplify right side
    586.29x = 509,381.40
  5. Step 5: Solve for x
    x = 509,381.40/586.29
  6. Step 6: Final answer
    x = 868.82

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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.