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Finding the Fourth Proportional to 510.68, 764.82 and 413.84

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Solution

The fourth proportional to 510.68, 764.82 and 413.84 is: 619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 764.82 = 413.84 : x
  2. Step 2: Convert to fraction form
    510.68/764.82 = 413.84/x
  3. Step 3: Cross multiply
    510.68x = 764.82 × 413.84
  4. Step 4: Simplify right side
    510.68x = 316,513.11
  5. Step 5: Solve for x
    x = 316,513.11/510.68
  6. Step 6: Final answer
    x = 619.79

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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.