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Finding the Fourth Proportional to 545.12, 751.64 and 413.90

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Solution

The fourth proportional to 545.12, 751.64 and 413.90 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.12 : 751.64 = 413.90 : x
  2. Step 2: Convert to fraction form
    545.12/751.64 = 413.90/x
  3. Step 3: Cross multiply
    545.12x = 751.64 × 413.90
  4. Step 4: Simplify right side
    545.12x = 311,103.80
  5. Step 5: Solve for x
    x = 311,103.80/545.12
  6. Step 6: Final answer
    x = 570.71

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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.