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Finding the Fourth Proportional to 410.14, 565.10 and 278.92

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Solution

The fourth proportional to 410.14, 565.10 and 278.92 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 565.10 = 278.92 : x
  2. Step 2: Convert to fraction form
    410.14/565.10 = 278.92/x
  3. Step 3: Cross multiply
    410.14x = 565.10 × 278.92
  4. Step 4: Simplify right side
    410.14x = 157,617.69
  5. Step 5: Solve for x
    x = 157,617.69/410.14
  6. Step 6: Final answer
    x = 384.30

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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.