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Finding the Fourth Proportional to 410.76, 615.16 and 289.16

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Solution

The fourth proportional to 410.76, 615.16 and 289.16 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 615.16 = 289.16 : x
  2. Step 2: Convert to fraction form
    410.76/615.16 = 289.16/x
  3. Step 3: Cross multiply
    410.76x = 615.16 × 289.16
  4. Step 4: Simplify right side
    410.76x = 177,879.67
  5. Step 5: Solve for x
    x = 177,879.67/410.76
  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.