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Finding the Fourth Proportional to 317.05, 474.76 and 265.56

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Solution

The fourth proportional to 317.05, 474.76 and 265.56 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 474.76 = 265.56 : x
  2. Step 2: Convert to fraction form
    317.05/474.76 = 265.56/x
  3. Step 3: Cross multiply
    317.05x = 474.76 × 265.56
  4. Step 4: Simplify right side
    317.05x = 126,077.88
  5. Step 5: Solve for x
    x = 126,077.88/317.05
  6. Step 6: Final answer
    x = 397.66

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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.