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Finding the Fourth Proportional to 410.26, 566.44 and 315.57

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Solution

The fourth proportional to 410.26, 566.44 and 315.57 is: 435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.26 : 566.44 = 315.57 : x
  2. Step 2: Convert to fraction form
    410.26/566.44 = 315.57/x
  3. Step 3: Cross multiply
    410.26x = 566.44 × 315.57
  4. Step 4: Simplify right side
    410.26x = 178,750.68
  5. Step 5: Solve for x
    x = 178,750.68/410.26
  6. Step 6: Final answer
    x = 435.70

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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.