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Finding the Fourth Proportional to 900.03, 1,348.15 and 413.49

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Solution

The fourth proportional to 900.03, 1,348.15 and 413.49 is: 619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.03 : 1,348.15 = 413.49 : x
  2. Step 2: Convert to fraction form
    900.03/1,348.15 = 413.49/x
  3. Step 3: Cross multiply
    900.03x = 1,348.15 × 413.49
  4. Step 4: Simplify right side
    900.03x = 557,446.54
  5. Step 5: Solve for x
    x = 557,446.54/900.03
  6. Step 6: Final answer
    x = 619.36

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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.