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Finding the Fourth Proportional to 545.14, 751.49 and 413.92

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Solution

The fourth proportional to 545.14, 751.49 and 413.92 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 751.49 = 413.92 : x
  2. Step 2: Convert to fraction form
    545.14/751.49 = 413.92/x
  3. Step 3: Cross multiply
    545.14x = 751.49 × 413.92
  4. Step 4: Simplify right side
    545.14x = 311,052.98
  5. Step 5: Solve for x
    x = 311,052.98/545.14
  6. Step 6: Final answer
    x = 570.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.