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Finding the Fourth Proportional to 559.52, 838.48 and 316.12

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Solution

The fourth proportional to 559.52, 838.48 and 316.12 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 838.48 = 316.12 : x
  2. Step 2: Convert to fraction form
    559.52/838.48 = 316.12/x
  3. Step 3: Cross multiply
    559.52x = 838.48 × 316.12
  4. Step 4: Simplify right side
    559.52x = 265,060.30
  5. Step 5: Solve for x
    x = 265,060.30/559.52
  6. Step 6: Final answer
    x = 473.73

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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.