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Finding the Fourth Proportional to 839.43, 1,258.84 and 319.29

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Solution

The fourth proportional to 839.43, 1,258.84 and 319.29 is: 478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.43 : 1,258.84 = 319.29 : x
  2. Step 2: Convert to fraction form
    839.43/1,258.84 = 319.29/x
  3. Step 3: Cross multiply
    839.43x = 1,258.84 × 319.29
  4. Step 4: Simplify right side
    839.43x = 401,931.48
  5. Step 5: Solve for x
    x = 401,931.48/839.43
  6. Step 6: Final answer
    x = 478.82

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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.