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Finding the Fourth Proportional to 479.52, 660.15 and 413.64

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Solution

The fourth proportional to 479.52, 660.15 and 413.64 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 660.15 = 413.64 : x
  2. Step 2: Convert to fraction form
    479.52/660.15 = 413.64/x
  3. Step 3: Cross multiply
    479.52x = 660.15 × 413.64
  4. Step 4: Simplify right side
    479.52x = 273,064.45
  5. Step 5: Solve for x
    x = 273,064.45/479.52
  6. Step 6: Final answer
    x = 569.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.