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Finding the Fourth Proportional to 900.32, 1,350.61 and 284.02

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Solution

The fourth proportional to 900.32, 1,350.61 and 284.02 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.32 : 1,350.61 = 284.02 : x
  2. Step 2: Convert to fraction form
    900.32/1,350.61 = 284.02/x
  3. Step 3: Cross multiply
    900.32x = 1,350.61 × 284.02
  4. Step 4: Simplify right side
    900.32x = 383,595.89
  5. Step 5: Solve for x
    x = 383,595.89/900.32
  6. Step 6: Final answer
    x = 426.07

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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.