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Finding the Fourth Proportional to 319.24, 439.38 and 270.76

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Solution

The fourth proportional to 319.24, 439.38 and 270.76 is: 372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 439.38 = 270.76 : x
  2. Step 2: Convert to fraction form
    319.24/439.38 = 270.76/x
  3. Step 3: Cross multiply
    319.24x = 439.38 × 270.76
  4. Step 4: Simplify right side
    319.24x = 118,966.53
  5. Step 5: Solve for x
    x = 118,966.53/319.24
  6. Step 6: Final answer
    x = 372.66

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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.