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Finding the Fourth Proportional to 410.71, 566.77 and 271.03

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Solution

The fourth proportional to 410.71, 566.77 and 271.03 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.71 : 566.77 = 271.03 : x
  2. Step 2: Convert to fraction form
    410.71/566.77 = 271.03/x
  3. Step 3: Cross multiply
    410.71x = 566.77 × 271.03
  4. Step 4: Simplify right side
    410.71x = 153,611.67
  5. Step 5: Solve for x
    x = 153,611.67/410.71
  6. Step 6: Final answer
    x = 374.01

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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.