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Finding the Fourth Proportional to 410.27, 566.33 and 270.59

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Solution

The fourth proportional to 410.27, 566.33 and 270.59 is: 373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 566.33 = 270.59 : x
  2. Step 2: Convert to fraction form
    410.27/566.33 = 270.59/x
  3. Step 3: Cross multiply
    410.27x = 566.33 × 270.59
  4. Step 4: Simplify right side
    410.27x = 153,239.05
  5. Step 5: Solve for x
    x = 153,239.05/410.27
  6. Step 6: Final answer
    x = 373.51

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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.