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Finding the Fourth Proportional to 410.46, 615.69 and 288.96

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Solution

The fourth proportional to 410.46, 615.69 and 288.96 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 615.69 = 288.96 : x
  2. Step 2: Convert to fraction form
    410.46/615.69 = 288.96/x
  3. Step 3: Cross multiply
    410.46x = 615.69 × 288.96
  4. Step 4: Simplify right side
    410.46x = 177,909.78
  5. Step 5: Solve for x
    x = 177,909.78/410.46
  6. Step 6: Final answer
    x = 433.44

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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.