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Finding the Fourth Proportional to 560.46, 839.81 and 354.59

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Solution

The fourth proportional to 560.46, 839.81 and 354.59 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 839.81 = 354.59 : x
  2. Step 2: Convert to fraction form
    560.46/839.81 = 354.59/x
  3. Step 3: Cross multiply
    560.46x = 839.81 × 354.59
  4. Step 4: Simplify right side
    560.46x = 297,786.90
  5. Step 5: Solve for x
    x = 297,786.90/560.46
  6. Step 6: Final answer
    x = 531.33

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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.