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Finding the Fourth Proportional to 560.91, 839.82 and 423.55

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Solution

The fourth proportional to 560.91, 839.82 and 423.55 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.91 : 839.82 = 423.55 : x
  2. Step 2: Convert to fraction form
    560.91/839.82 = 423.55/x
  3. Step 3: Cross multiply
    560.91x = 839.82 × 423.55
  4. Step 4: Simplify right side
    560.91x = 355,705.76
  5. Step 5: Solve for x
    x = 355,705.76/560.91
  6. Step 6: Final answer
    x = 634.16

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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.