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Finding the Fourth Proportional to 900.59, 1,350.68 and 413.51

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Solution

The fourth proportional to 900.59, 1,350.68 and 413.51 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.59 : 1,350.68 = 413.51 : x
  2. Step 2: Convert to fraction form
    900.59/1,350.68 = 413.51/x
  3. Step 3: Cross multiply
    900.59x = 1,350.68 × 413.51
  4. Step 4: Simplify right side
    900.59x = 558,510.87
  5. Step 5: Solve for x
    x = 558,510.87/900.59
  6. Step 6: Final answer
    x = 620.16

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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.