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Finding the Fourth Proportional to 518.20, 714.94 and 413.53

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Solution

The fourth proportional to 518.20, 714.94 and 413.53 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 714.94 = 413.53 : x
  2. Step 2: Convert to fraction form
    518.20/714.94 = 413.53/x
  3. Step 3: Cross multiply
    518.20x = 714.94 × 413.53
  4. Step 4: Simplify right side
    518.20x = 295,646.32
  5. Step 5: Solve for x
    x = 295,646.32/518.20
  6. Step 6: Final answer
    x = 570.53

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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.