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Finding the Fourth Proportional to 839.24, 1,258.05 and 319.10

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Solution

The fourth proportional to 839.24, 1,258.05 and 319.10 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,258.05 = 319.10 : x
  2. Step 2: Convert to fraction form
    839.24/1,258.05 = 319.10/x
  3. Step 3: Cross multiply
    839.24x = 1,258.05 × 319.10
  4. Step 4: Simplify right side
    839.24x = 401,437.46
  5. Step 5: Solve for x
    x = 401,437.46/839.24
  6. Step 6: Final answer
    x = 478.34

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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.