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Finding the Fourth Proportional to 319.34, 478.72 and 216.37

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Solution

The fourth proportional to 319.34, 478.72 and 216.37 is: 324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 478.72 = 216.37 : x
  2. Step 2: Convert to fraction form
    319.34/478.72 = 216.37/x
  3. Step 3: Cross multiply
    319.34x = 478.72 × 216.37
  4. Step 4: Simplify right side
    319.34x = 103,580.65
  5. Step 5: Solve for x
    x = 103,580.65/319.34
  6. Step 6: Final answer
    x = 324.36

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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.