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Finding the Fourth Proportional to 560.64, 839.68 and 413.44

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Solution

The fourth proportional to 560.64, 839.68 and 413.44 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 839.68 = 413.44 : x
  2. Step 2: Convert to fraction form
    560.64/839.68 = 413.44/x
  3. Step 3: Cross multiply
    560.64x = 839.68 × 413.44
  4. Step 4: Simplify right side
    560.64x = 347,157.30
  5. Step 5: Solve for x
    x = 347,157.30/560.64
  6. Step 6: Final answer
    x = 619.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.