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Finding the Fourth Proportional to 508.31, 701.50 and 298.50

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Solution

The fourth proportional to 508.31, 701.50 and 298.50 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 701.50 = 298.50 : x
  2. Step 2: Convert to fraction form
    508.31/701.50 = 298.50/x
  3. Step 3: Cross multiply
    508.31x = 701.50 × 298.50
  4. Step 4: Simplify right side
    508.31x = 209,398.88
  5. Step 5: Solve for x
    x = 209,398.88/508.31
  6. Step 6: Final answer
    x = 411.95

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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.