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Finding the Fourth Proportional to 900.31, 1,350.03 and 413.05

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Solution

The fourth proportional to 900.31, 1,350.03 and 413.05 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.31 : 1,350.03 = 413.05 : x
  2. Step 2: Convert to fraction form
    900.31/1,350.03 = 413.05/x
  3. Step 3: Cross multiply
    900.31x = 1,350.03 × 413.05
  4. Step 4: Simplify right side
    900.31x = 557,629.89
  5. Step 5: Solve for x
    x = 557,629.89/900.31
  6. Step 6: Final answer
    x = 619.38

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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.