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Finding the Fourth Proportional to 453.35, 679.20 and 316.13

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Solution

The fourth proportional to 453.35, 679.20 and 316.13 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.35 : 679.20 = 316.13 : x
  2. Step 2: Convert to fraction form
    453.35/679.20 = 316.13/x
  3. Step 3: Cross multiply
    453.35x = 679.20 × 316.13
  4. Step 4: Simplify right side
    453.35x = 214,712.10
  5. Step 5: Solve for x
    x = 214,712.10/453.35
  6. Step 6: Final answer
    x = 473.62

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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.