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Finding the Fourth Proportional to 410.47, 566.12 and 270.36

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Solution

The fourth proportional to 410.47, 566.12 and 270.36 is: 372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 566.12 = 270.36 : x
  2. Step 2: Convert to fraction form
    410.47/566.12 = 270.36/x
  3. Step 3: Cross multiply
    410.47x = 566.12 × 270.36
  4. Step 4: Simplify right side
    410.47x = 153,056.88
  5. Step 5: Solve for x
    x = 153,056.88/410.47
  6. Step 6: Final answer
    x = 372.88

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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.