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Finding the Fourth Proportional to 410.47, 614.32 and 342.11

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Solution

The fourth proportional to 410.47, 614.32 and 342.11 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 614.32 = 342.11 : x
  2. Step 2: Convert to fraction form
    410.47/614.32 = 342.11/x
  3. Step 3: Cross multiply
    410.47x = 614.32 × 342.11
  4. Step 4: Simplify right side
    410.47x = 210,165.70
  5. Step 5: Solve for x
    x = 210,165.70/410.47
  6. Step 6: Final answer
    x = 512.02

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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.