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Finding the Fourth Proportional to 424.92, 586.95 and 342.34

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Solution

The fourth proportional to 424.92, 586.95 and 342.34 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 586.95 = 342.34 : x
  2. Step 2: Convert to fraction form
    424.92/586.95 = 342.34/x
  3. Step 3: Cross multiply
    424.92x = 586.95 × 342.34
  4. Step 4: Simplify right side
    424.92x = 200,935.00
  5. Step 5: Solve for x
    x = 200,935.00/424.92
  6. Step 6: Final answer
    x = 472.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.