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Finding the Fourth Proportional to 586.30, 878.16 and 342.22

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Solution

The fourth proportional to 586.30, 878.16 and 342.22 is: 512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.30 : 878.16 = 342.22 : x
  2. Step 2: Convert to fraction form
    586.30/878.16 = 342.22/x
  3. Step 3: Cross multiply
    586.30x = 878.16 × 342.22
  4. Step 4: Simplify right side
    586.30x = 300,523.92
  5. Step 5: Solve for x
    x = 300,523.92/586.30
  6. Step 6: Final answer
    x = 512.58

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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.