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Finding the Fourth Proportional to 410.26, 615.51 and 264.07

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Solution

The fourth proportional to 410.26, 615.51 and 264.07 is: 396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.26 : 615.51 = 264.07 : x
  2. Step 2: Convert to fraction form
    410.26/615.51 = 264.07/x
  3. Step 3: Cross multiply
    410.26x = 615.51 × 264.07
  4. Step 4: Simplify right side
    410.26x = 162,537.73
  5. Step 5: Solve for x
    x = 162,537.73/410.26
  6. Step 6: Final answer
    x = 396.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.