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Finding the Fourth Proportional to 900.42, 1,350.86 and 284.10

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Solution

The fourth proportional to 900.42, 1,350.86 and 284.10 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.42 : 1,350.86 = 284.10 : x
  2. Step 2: Convert to fraction form
    900.42/1,350.86 = 284.10/x
  3. Step 3: Cross multiply
    900.42x = 1,350.86 × 284.10
  4. Step 4: Simplify right side
    900.42x = 383,777.91
  5. Step 5: Solve for x
    x = 383,777.91/900.42
  6. Step 6: Final answer
    x = 426.22

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