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Finding the Fourth Proportional to 900.23, 1,350.18 and 413.16

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Solution

The fourth proportional to 900.23, 1,350.18 and 413.16 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.23 : 1,350.18 = 413.16 : x
  2. Step 2: Convert to fraction form
    900.23/1,350.18 = 413.16/x
  3. Step 3: Cross multiply
    900.23x = 1,350.18 × 413.16
  4. Step 4: Simplify right side
    900.23x = 557,838.30
  5. Step 5: Solve for x
    x = 557,838.30/900.23
  6. Step 6: Final answer
    x = 619.66

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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.