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Finding the Fourth Proportional to 332.96, 496.69 and 316.76

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Solution

The fourth proportional to 332.96, 496.69 and 316.76 is: 472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.96 : 496.69 = 316.76 : x
  2. Step 2: Convert to fraction form
    332.96/496.69 = 316.76/x
  3. Step 3: Cross multiply
    332.96x = 496.69 × 316.76
  4. Step 4: Simplify right side
    332.96x = 157,331.52
  5. Step 5: Solve for x
    x = 157,331.52/332.96
  6. Step 6: Final answer
    x = 472.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.