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Finding the Fourth Proportional to 317.76, 477.36 and 209.76

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Solution

The fourth proportional to 317.76, 477.36 and 209.76 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 477.36 = 209.76 : x
  2. Step 2: Convert to fraction form
    317.76/477.36 = 209.76/x
  3. Step 3: Cross multiply
    317.76x = 477.36 × 209.76
  4. Step 4: Simplify right side
    317.76x = 100,131.03
  5. Step 5: Solve for x
    x = 100,131.03/317.76
  6. Step 6: Final answer
    x = 315.12

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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.