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Finding the Fourth Proportional to 319.79, 440.35 and 293.48

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Solution

The fourth proportional to 319.79, 440.35 and 293.48 is: 404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.79 : 440.35 = 293.48 : x
  2. Step 2: Convert to fraction form
    319.79/440.35 = 293.48/x
  3. Step 3: Cross multiply
    319.79x = 440.35 × 293.48
  4. Step 4: Simplify right side
    319.79x = 129,232.63
  5. Step 5: Solve for x
    x = 129,232.63/319.79
  6. Step 6: Final answer
    x = 404.11

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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.