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Finding the Fourth Proportional to 868.44, 1,302.90 and 283.54

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Solution

The fourth proportional to 868.44, 1,302.90 and 283.54 is: 425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.44 : 1,302.90 = 283.54 : x
  2. Step 2: Convert to fraction form
    868.44/1,302.90 = 283.54/x
  3. Step 3: Cross multiply
    868.44x = 1,302.90 × 283.54
  4. Step 4: Simplify right side
    868.44x = 369,424.27
  5. Step 5: Solve for x
    x = 369,424.27/868.44
  6. Step 6: Final answer
    x = 425.39

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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.