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Finding the Fourth Proportional to 410.01, 565.96 and 343.49

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Solution

The fourth proportional to 410.01, 565.96 and 343.49 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.01 : 565.96 = 343.49 : x
  2. Step 2: Convert to fraction form
    410.01/565.96 = 343.49/x
  3. Step 3: Cross multiply
    410.01x = 565.96 × 343.49
  4. Step 4: Simplify right side
    410.01x = 194,402.71
  5. Step 5: Solve for x
    x = 194,402.71/410.01
  6. Step 6: Final answer
    x = 474.14

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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.