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Finding the Fourth Proportional to 568.68, 784.98 and 413.88

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Solution

The fourth proportional to 568.68, 784.98 and 413.88 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.68 : 784.98 = 413.88 : x
  2. Step 2: Convert to fraction form
    568.68/784.98 = 413.88/x
  3. Step 3: Cross multiply
    568.68x = 784.98 × 413.88
  4. Step 4: Simplify right side
    568.68x = 324,887.52
  5. Step 5: Solve for x
    x = 324,887.52/568.68
  6. Step 6: Final answer
    x = 571.30

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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.