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Finding the Fourth Proportional to 410.76, 566.68 and 271.08

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Solution

The fourth proportional to 410.76, 566.68 and 271.08 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 566.68 = 271.08 : x
  2. Step 2: Convert to fraction form
    410.76/566.68 = 271.08/x
  3. Step 3: Cross multiply
    410.76x = 566.68 × 271.08
  4. Step 4: Simplify right side
    410.76x = 153,615.61
  5. Step 5: Solve for x
    x = 153,615.61/410.76
  6. Step 6: Final answer
    x = 373.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.