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Finding the Fourth Proportional to 560.21, 839.65 and 422.80

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Solution

The fourth proportional to 560.21, 839.65 and 422.80 is: 633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 839.65 = 422.80 : x
  2. Step 2: Convert to fraction form
    560.21/839.65 = 422.80/x
  3. Step 3: Cross multiply
    560.21x = 839.65 × 422.80
  4. Step 4: Simplify right side
    560.21x = 355,004.02
  5. Step 5: Solve for x
    x = 355,004.02/560.21
  6. Step 6: Final answer
    x = 633.70

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