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Finding the Fourth Proportional to 900.30, 1,350.24 and 284.10

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Solution

The fourth proportional to 900.30, 1,350.24 and 284.10 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.30 : 1,350.24 = 284.10 : x
  2. Step 2: Convert to fraction form
    900.30/1,350.24 = 284.10/x
  3. Step 3: Cross multiply
    900.30x = 1,350.24 × 284.10
  4. Step 4: Simplify right side
    900.30x = 383,603.18
  5. Step 5: Solve for x
    x = 383,603.18/900.30
  6. Step 6: Final answer
    x = 426.08

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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.