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Finding the Fourth Proportional to 900.90, 1,350.42 and 345.48

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Solution

The fourth proportional to 900.90, 1,350.42 and 345.48 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.90 : 1,350.42 = 345.48 : x
  2. Step 2: Convert to fraction form
    900.90/1,350.42 = 345.48/x
  3. Step 3: Cross multiply
    900.90x = 1,350.42 × 345.48
  4. Step 4: Simplify right side
    900.90x = 466,543.10
  5. Step 5: Solve for x
    x = 466,543.10/900.90
  6. Step 6: Final answer
    x = 517.86

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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.