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Finding the Fourth Proportional to 560.14, 839.39 and 439.04

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Solution

The fourth proportional to 560.14, 839.39 and 439.04 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.14 : 839.39 = 439.04 : x
  2. Step 2: Convert to fraction form
    560.14/839.39 = 439.04/x
  3. Step 3: Cross multiply
    560.14x = 839.39 × 439.04
  4. Step 4: Simplify right side
    560.14x = 368,525.69
  5. Step 5: Solve for x
    x = 368,525.69/560.14
  6. Step 6: Final answer
    x = 657.92

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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.