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Finding the Fourth Proportional to 517.55, 714.62 and 495.95

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Solution

The fourth proportional to 517.55, 714.62 and 495.95 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.55 : 714.62 = 495.95 : x
  2. Step 2: Convert to fraction form
    517.55/714.62 = 495.95/x
  3. Step 3: Cross multiply
    517.55x = 714.62 × 495.95
  4. Step 4: Simplify right side
    517.55x = 354,413.46
  5. Step 5: Solve for x
    x = 354,413.46/517.55
  6. Step 6: Final answer
    x = 684.80

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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.