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Finding the Fourth Proportional to 310.28, 461.76 and 298.76

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Solution

The fourth proportional to 310.28, 461.76 and 298.76 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 461.76 = 298.76 : x
  2. Step 2: Convert to fraction form
    310.28/461.76 = 298.76/x
  3. Step 3: Cross multiply
    310.28x = 461.76 × 298.76
  4. Step 4: Simplify right side
    310.28x = 137,955.42
  5. Step 5: Solve for x
    x = 137,955.42/310.28
  6. Step 6: Final answer
    x = 444.62

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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.