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Finding the Fourth Proportional to 410.43, 614.01 and 256.26

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Solution

The fourth proportional to 410.43, 614.01 and 256.26 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 614.01 = 256.26 : x
  2. Step 2: Convert to fraction form
    410.43/614.01 = 256.26/x
  3. Step 3: Cross multiply
    410.43x = 614.01 × 256.26
  4. Step 4: Simplify right side
    410.43x = 157,346.20
  5. Step 5: Solve for x
    x = 157,346.20/410.43
  6. Step 6: Final answer
    x = 383.37

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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.