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Finding the Fourth Proportional to 508.31, 701.48 and 298.43

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Solution

The fourth proportional to 508.31, 701.48 and 298.43 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 701.48 = 298.43 : x
  2. Step 2: Convert to fraction form
    508.31/701.48 = 298.43/x
  3. Step 3: Cross multiply
    508.31x = 701.48 × 298.43
  4. Step 4: Simplify right side
    508.31x = 209,342.94
  5. Step 5: Solve for x
    x = 209,342.94/508.31
  6. Step 6: Final answer
    x = 411.85

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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.