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Finding the Fourth Proportional to 317.93, 477.09 and 215.46

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Solution

The fourth proportional to 317.93, 477.09 and 215.46 is: 323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 477.09 = 215.46 : x
  2. Step 2: Convert to fraction form
    317.93/477.09 = 215.46/x
  3. Step 3: Cross multiply
    317.93x = 477.09 × 215.46
  4. Step 4: Simplify right side
    317.93x = 102,793.81
  5. Step 5: Solve for x
    x = 102,793.81/317.93
  6. Step 6: Final answer
    x = 323.33

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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.