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Finding the Fourth Proportional to 900.28, 1,348.52 and 413.74

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Solution

The fourth proportional to 900.28, 1,348.52 and 413.74 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.28 : 1,348.52 = 413.74 : x
  2. Step 2: Convert to fraction form
    900.28/1,348.52 = 413.74/x
  3. Step 3: Cross multiply
    900.28x = 1,348.52 × 413.74
  4. Step 4: Simplify right side
    900.28x = 557,936.66
  5. Step 5: Solve for x
    x = 557,936.66/900.28
  6. Step 6: Final answer
    x = 619.74

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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.