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Finding the Fourth Proportional to 560.40, 773.68 and 413.44

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Solution

The fourth proportional to 560.40, 773.68 and 413.44 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 773.68 = 413.44 : x
  2. Step 2: Convert to fraction form
    560.40/773.68 = 413.44/x
  3. Step 3: Cross multiply
    560.40x = 773.68 × 413.44
  4. Step 4: Simplify right side
    560.40x = 319,870.26
  5. Step 5: Solve for x
    x = 319,870.26/560.40
  6. Step 6: Final answer
    x = 570.79

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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.