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Finding the Fourth Proportional to 586.06, 878.25 and 296.86

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Solution

The fourth proportional to 586.06, 878.25 and 296.86 is: 444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.06 : 878.25 = 296.86 : x
  2. Step 2: Convert to fraction form
    586.06/878.25 = 296.86/x
  3. Step 3: Cross multiply
    586.06x = 878.25 × 296.86
  4. Step 4: Simplify right side
    586.06x = 260,717.30
  5. Step 5: Solve for x
    x = 260,717.30/586.06
  6. Step 6: Final answer
    x = 444.86

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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.