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Finding the Fourth Proportional to 623.40, 860.65 and 413.86

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Solution

The fourth proportional to 623.40, 860.65 and 413.86 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 860.65 = 413.86 : x
  2. Step 2: Convert to fraction form
    623.40/860.65 = 413.86/x
  3. Step 3: Cross multiply
    623.40x = 860.65 × 413.86
  4. Step 4: Simplify right side
    623.40x = 356,188.61
  5. Step 5: Solve for x
    x = 356,188.61/623.40
  6. Step 6: Final answer
    x = 571.36

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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.