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Finding the Fourth Proportional to 410.75, 615.72 and 264.09

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Solution

The fourth proportional to 410.75, 615.72 and 264.09 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 615.72 = 264.09 : x
  2. Step 2: Convert to fraction form
    410.75/615.72 = 264.09/x
  3. Step 3: Cross multiply
    410.75x = 615.72 × 264.09
  4. Step 4: Simplify right side
    410.75x = 162,605.49
  5. Step 5: Solve for x
    x = 162,605.49/410.75
  6. Step 6: Final answer
    x = 395.87

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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.