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Finding the Fourth Proportional to 508.62, 701.89 and 298.80

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Solution

The fourth proportional to 508.62, 701.89 and 298.80 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 701.89 = 298.80 : x
  2. Step 2: Convert to fraction form
    508.62/701.89 = 298.80/x
  3. Step 3: Cross multiply
    508.62x = 701.89 × 298.80
  4. Step 4: Simplify right side
    508.62x = 209,724.73
  5. Step 5: Solve for x
    x = 209,724.73/508.62
  6. Step 6: Final answer
    x = 412.34

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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.