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Finding the Fourth Proportional to 478.08, 713.67 and 413.52

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Solution

The fourth proportional to 478.08, 713.67 and 413.52 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 713.67 = 413.52 : x
  2. Step 2: Convert to fraction form
    478.08/713.67 = 413.52/x
  3. Step 3: Cross multiply
    478.08x = 713.67 × 413.52
  4. Step 4: Simplify right side
    478.08x = 295,116.82
  5. Step 5: Solve for x
    x = 295,116.82/478.08
  6. Step 6: Final answer
    x = 617.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.