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Finding the Fourth Proportional to 410.23, 614.76 and 349.12

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Solution

The fourth proportional to 410.23, 614.76 and 349.12 is: 523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 614.76 = 349.12 : x
  2. Step 2: Convert to fraction form
    410.23/614.76 = 349.12/x
  3. Step 3: Cross multiply
    410.23x = 614.76 × 349.12
  4. Step 4: Simplify right side
    410.23x = 214,621.94
  5. Step 5: Solve for x
    x = 214,621.94/410.23
  6. Step 6: Final answer
    x = 523.18

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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.