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Finding the Fourth Proportional to 900.71, 1,351.20 and 284.46

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Solution

The fourth proportional to 900.71, 1,351.20 and 284.46 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.71 : 1,351.20 = 284.46 : x
  2. Step 2: Convert to fraction form
    900.71/1,351.20 = 284.46/x
  3. Step 3: Cross multiply
    900.71x = 1,351.20 × 284.46
  4. Step 4: Simplify right side
    900.71x = 384,364.35
  5. Step 5: Solve for x
    x = 384,364.35/900.71
  6. Step 6: Final answer
    x = 426.73

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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.