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Finding the Fourth Proportional to 410.40, 616.80 and 313.20

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Solution

The fourth proportional to 410.40, 616.80 and 313.20 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 616.80 = 313.20 : x
  2. Step 2: Convert to fraction form
    410.40/616.80 = 313.20/x
  3. Step 3: Cross multiply
    410.40x = 616.80 × 313.20
  4. Step 4: Simplify right side
    410.40x = 193,181.76
  5. Step 5: Solve for x
    x = 193,181.76/410.40
  6. Step 6: Final answer
    x = 470.72

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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.