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Finding the Fourth Proportional to 560.88, 773.28 and 413.52

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Solution

The fourth proportional to 560.88, 773.28 and 413.52 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.88 : 773.28 = 413.52 : x
  2. Step 2: Convert to fraction form
    560.88/773.28 = 413.52/x
  3. Step 3: Cross multiply
    560.88x = 773.28 × 413.52
  4. Step 4: Simplify right side
    560.88x = 319,766.75
  5. Step 5: Solve for x
    x = 319,766.75/560.88
  6. Step 6: Final answer
    x = 570.12

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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.