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Finding the Fourth Proportional to 543.06, 813.48 and 413.82

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Solution

The fourth proportional to 543.06, 813.48 and 413.82 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 813.48 = 413.82 : x
  2. Step 2: Convert to fraction form
    543.06/813.48 = 413.82/x
  3. Step 3: Cross multiply
    543.06x = 813.48 × 413.82
  4. Step 4: Simplify right side
    543.06x = 336,634.29
  5. Step 5: Solve for x
    x = 336,634.29/543.06
  6. Step 6: Final answer
    x = 619.88

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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.