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Finding the Fourth Proportional to 559.24, 839.46 and 374.20

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Solution

The fourth proportional to 559.24, 839.46 and 374.20 is: 561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 839.46 = 374.20 : x
  2. Step 2: Convert to fraction form
    559.24/839.46 = 374.20/x
  3. Step 3: Cross multiply
    559.24x = 839.46 × 374.20
  4. Step 4: Simplify right side
    559.24x = 314,125.93
  5. Step 5: Solve for x
    x = 314,125.93/559.24
  6. Step 6: Final answer
    x = 561.70

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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.