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Finding the Fourth Proportional to 410.47, 566.62 and 331.60

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Solution

The fourth proportional to 410.47, 566.62 and 331.60 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 566.62 = 331.60 : x
  2. Step 2: Convert to fraction form
    410.47/566.62 = 331.60/x
  3. Step 3: Cross multiply
    410.47x = 566.62 × 331.60
  4. Step 4: Simplify right side
    410.47x = 187,888.36
  5. Step 5: Solve for x
    x = 187,888.36/410.47
  6. Step 6: Final answer
    x = 457.74

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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.