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Finding the Fourth Proportional to 508.76, 701.98 and 298.97

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Solution

The fourth proportional to 508.76, 701.98 and 298.97 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 701.98 = 298.97 : x
  2. Step 2: Convert to fraction form
    508.76/701.98 = 298.97/x
  3. Step 3: Cross multiply
    508.76x = 701.98 × 298.97
  4. Step 4: Simplify right side
    508.76x = 209,865.96
  5. Step 5: Solve for x
    x = 209,865.96/508.76
  6. Step 6: Final answer
    x = 412.51

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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.