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Finding the Fourth Proportional to 900.36, 1,351.44 and 413.82

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Solution

The fourth proportional to 900.36, 1,351.44 and 413.82 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.36 : 1,351.44 = 413.82 : x
  2. Step 2: Convert to fraction form
    900.36/1,351.44 = 413.82/x
  3. Step 3: Cross multiply
    900.36x = 1,351.44 × 413.82
  4. Step 4: Simplify right side
    900.36x = 559,252.90
  5. Step 5: Solve for x
    x = 559,252.90/900.36
  6. Step 6: Final answer
    x = 621.14

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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.