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Finding the Fourth Proportional to 492.13, 679.05 and 315.12

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Solution

The fourth proportional to 492.13, 679.05 and 315.12 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 679.05 = 315.12 : x
  2. Step 2: Convert to fraction form
    492.13/679.05 = 315.12/x
  3. Step 3: Cross multiply
    492.13x = 679.05 × 315.12
  4. Step 4: Simplify right side
    492.13x = 213,984.01
  5. Step 5: Solve for x
    x = 213,984.01/492.13
  6. Step 6: Final answer
    x = 434.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.