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Finding the Fourth Proportional to 586.08, 878.10 and 411.93

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Solution

The fourth proportional to 586.08, 878.10 and 411.93 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 878.10 = 411.93 : x
  2. Step 2: Convert to fraction form
    586.08/878.10 = 411.93/x
  3. Step 3: Cross multiply
    586.08x = 878.10 × 411.93
  4. Step 4: Simplify right side
    586.08x = 361,715.73
  5. Step 5: Solve for x
    x = 361,715.73/586.08
  6. Step 6: Final answer
    x = 617.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.