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Finding the Fourth Proportional to 316.79, 437.34 and 219.07

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Solution

The fourth proportional to 316.79, 437.34 and 219.07 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.79 : 437.34 = 219.07 : x
  2. Step 2: Convert to fraction form
    316.79/437.34 = 219.07/x
  3. Step 3: Cross multiply
    316.79x = 437.34 × 219.07
  4. Step 4: Simplify right side
    316.79x = 95,808.07
  5. Step 5: Solve for x
    x = 95,808.07/316.79
  6. Step 6: Final answer
    x = 302.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.