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Finding the Fourth Proportional to 900.08, 1,349.88 and 413.36

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Solution

The fourth proportional to 900.08, 1,349.88 and 413.36 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.08 : 1,349.88 = 413.36 : x
  2. Step 2: Convert to fraction form
    900.08/1,349.88 = 413.36/x
  3. Step 3: Cross multiply
    900.08x = 1,349.88 × 413.36
  4. Step 4: Simplify right side
    900.08x = 557,986.40
  5. Step 5: Solve for x
    x = 557,986.40/900.08
  6. Step 6: Final answer
    x = 619.93

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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.