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Finding the Fourth Proportional to 510.61, 762.53 and 413.23

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Solution

The fourth proportional to 510.61, 762.53 and 413.23 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 762.53 = 413.23 : x
  2. Step 2: Convert to fraction form
    510.61/762.53 = 413.23/x
  3. Step 3: Cross multiply
    510.61x = 762.53 × 413.23
  4. Step 4: Simplify right side
    510.61x = 315,100.27
  5. Step 5: Solve for x
    x = 315,100.27/510.61
  6. Step 6: Final answer
    x = 617.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.