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Finding the Fourth Proportional to 898.32, 1,347.30 and 281.94

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Solution

The fourth proportional to 898.32, 1,347.30 and 281.94 is: 422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.32 : 1,347.30 = 281.94 : x
  2. Step 2: Convert to fraction form
    898.32/1,347.30 = 281.94/x
  3. Step 3: Cross multiply
    898.32x = 1,347.30 × 281.94
  4. Step 4: Simplify right side
    898.32x = 379,857.76
  5. Step 5: Solve for x
    x = 379,857.76/898.32
  6. Step 6: Final answer
    x = 422.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.