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Finding the Fourth Proportional to 900.29, 1,350.23 and 344.88

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Solution

The fourth proportional to 900.29, 1,350.23 and 344.88 is: 517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.29 : 1,350.23 = 344.88 : x
  2. Step 2: Convert to fraction form
    900.29/1,350.23 = 344.88/x
  3. Step 3: Cross multiply
    900.29x = 1,350.23 × 344.88
  4. Step 4: Simplify right side
    900.29x = 465,665.60
  5. Step 5: Solve for x
    x = 465,665.60/900.29
  6. Step 6: Final answer
    x = 517.24

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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.