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Finding the Fourth Proportional to 508.43, 701.42 and 298.67

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Solution

The fourth proportional to 508.43, 701.42 and 298.67 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.43 : 701.42 = 298.67 : x
  2. Step 2: Convert to fraction form
    508.43/701.42 = 298.67/x
  3. Step 3: Cross multiply
    508.43x = 701.42 × 298.67
  4. Step 4: Simplify right side
    508.43x = 209,491.62
  5. Step 5: Solve for x
    x = 209,491.62/508.43
  6. Step 6: Final answer
    x = 412.04

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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.