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Finding the Fourth Proportional to 410.96, 615.86 and 288.97

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Solution

The fourth proportional to 410.96, 615.86 and 288.97 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 615.86 = 288.97 : x
  2. Step 2: Convert to fraction form
    410.96/615.86 = 288.97/x
  3. Step 3: Cross multiply
    410.96x = 615.86 × 288.97
  4. Step 4: Simplify right side
    410.96x = 177,965.06
  5. Step 5: Solve for x
    x = 177,965.06/410.96
  6. Step 6: Final answer
    x = 433.05

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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.