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Finding the Fourth Proportional to 559.10, 839.60 and 312.20

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Solution

The fourth proportional to 559.10, 839.60 and 312.20 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.10 : 839.60 = 312.20 : x
  2. Step 2: Convert to fraction form
    559.10/839.60 = 312.20/x
  3. Step 3: Cross multiply
    559.10x = 839.60 × 312.20
  4. Step 4: Simplify right side
    559.10x = 262,123.12
  5. Step 5: Solve for x
    x = 262,123.12/559.10
  6. Step 6: Final answer
    x = 468.83

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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.