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Finding the Fourth Proportional to 319.64, 440.70 and 294.92

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Solution

The fourth proportional to 319.64, 440.70 and 294.92 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 440.70 = 294.92 : x
  2. Step 2: Convert to fraction form
    319.64/440.70 = 294.92/x
  3. Step 3: Cross multiply
    319.64x = 440.70 × 294.92
  4. Step 4: Simplify right side
    319.64x = 129,971.24
  5. Step 5: Solve for x
    x = 129,971.24/319.64
  6. Step 6: Final answer
    x = 406.62

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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.