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Finding the Fourth Proportional to 410.50, 615.57 and 215.06

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Solution

The fourth proportional to 410.50, 615.57 and 215.06 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 615.57 = 215.06 : x
  2. Step 2: Convert to fraction form
    410.50/615.57 = 215.06/x
  3. Step 3: Cross multiply
    410.50x = 615.57 × 215.06
  4. Step 4: Simplify right side
    410.50x = 132,380.60
  5. Step 5: Solve for x
    x = 132,380.60/410.50
  6. Step 6: Final answer
    x = 322.49

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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.