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Finding the Fourth Proportional to 586.82, 878.88 and 413.66

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Solution

The fourth proportional to 586.82, 878.88 and 413.66 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.82 : 878.88 = 413.66 : x
  2. Step 2: Convert to fraction form
    586.82/878.88 = 413.66/x
  3. Step 3: Cross multiply
    586.82x = 878.88 × 413.66
  4. Step 4: Simplify right side
    586.82x = 363,557.50
  5. Step 5: Solve for x
    x = 363,557.50/586.82
  6. Step 6: Final answer
    x = 619.54

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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.