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Finding the Fourth Proportional to 518.61, 715.83 and 413.66

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Solution

The fourth proportional to 518.61, 715.83 and 413.66 is: 570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.61 : 715.83 = 413.66 : x
  2. Step 2: Convert to fraction form
    518.61/715.83 = 413.66/x
  3. Step 3: Cross multiply
    518.61x = 715.83 × 413.66
  4. Step 4: Simplify right side
    518.61x = 296,111.95
  5. Step 5: Solve for x
    x = 296,111.95/518.61
  6. Step 6: Final answer
    x = 570.98

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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.