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Finding the Fourth Proportional to 900.36, 1,350.70 and 284.16

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Solution

The fourth proportional to 900.36, 1,350.70 and 284.16 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.36 : 1,350.70 = 284.16 : x
  2. Step 2: Convert to fraction form
    900.36/1,350.70 = 284.16/x
  3. Step 3: Cross multiply
    900.36x = 1,350.70 × 284.16
  4. Step 4: Simplify right side
    900.36x = 383,814.91
  5. Step 5: Solve for x
    x = 383,814.91/900.36
  6. Step 6: Final answer
    x = 426.29

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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.