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Finding the Fourth Proportional to 510.73, 765.75 and 413.35

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Solution

The fourth proportional to 510.73, 765.75 and 413.35 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 765.75 = 413.35 : x
  2. Step 2: Convert to fraction form
    510.73/765.75 = 413.35/x
  3. Step 3: Cross multiply
    510.73x = 765.75 × 413.35
  4. Step 4: Simplify right side
    510.73x = 316,522.76
  5. Step 5: Solve for x
    x = 316,522.76/510.73
  6. Step 6: Final answer
    x = 619.75

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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.