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Finding the Fourth Proportional to 839.08, 1,258.38 and 319.16

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Solution

The fourth proportional to 839.08, 1,258.38 and 319.16 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.08 : 1,258.38 = 319.16 : x
  2. Step 2: Convert to fraction form
    839.08/1,258.38 = 319.16/x
  3. Step 3: Cross multiply
    839.08x = 1,258.38 × 319.16
  4. Step 4: Simplify right side
    839.08x = 401,624.56
  5. Step 5: Solve for x
    x = 401,624.56/839.08
  6. Step 6: Final answer
    x = 478.65

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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.