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Finding the Fourth Proportional to 559.31, 838.35 and 299.12

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Solution

The fourth proportional to 559.31, 838.35 and 299.12 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 838.35 = 299.12 : x
  2. Step 2: Convert to fraction form
    559.31/838.35 = 299.12/x
  3. Step 3: Cross multiply
    559.31x = 838.35 × 299.12
  4. Step 4: Simplify right side
    559.31x = 250,763.06
  5. Step 5: Solve for x
    x = 250,763.06/559.31
  6. Step 6: Final answer
    x = 448.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.