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Finding the Fourth Proportional to 898.50, 1,347.75 and 282.25

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Solution

The fourth proportional to 898.50, 1,347.75 and 282.25 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.50 : 1,347.75 = 282.25 : x
  2. Step 2: Convert to fraction form
    898.50/1,347.75 = 282.25/x
  3. Step 3: Cross multiply
    898.50x = 1,347.75 × 282.25
  4. Step 4: Simplify right side
    898.50x = 380,401.03
  5. Step 5: Solve for x
    x = 380,401.03/898.50
  6. Step 6: Final answer
    x = 423.37

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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.