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Finding the Fourth Proportional to 331.32, 493.22 and 315.60

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Solution

The fourth proportional to 331.32, 493.22 and 315.60 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.32 : 493.22 = 315.60 : x
  2. Step 2: Convert to fraction form
    331.32/493.22 = 315.60/x
  3. Step 3: Cross multiply
    331.32x = 493.22 × 315.60
  4. Step 4: Simplify right side
    331.32x = 155,660.23
  5. Step 5: Solve for x
    x = 155,660.23/331.32
  6. Step 6: Final answer
    x = 469.82

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