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Finding the Fourth Proportional to 838.66, 1,258.37 and 291.24

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Solution

The fourth proportional to 838.66, 1,258.37 and 291.24 is: 436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,258.37 = 291.24 : x
  2. Step 2: Convert to fraction form
    838.66/1,258.37 = 291.24/x
  3. Step 3: Cross multiply
    838.66x = 1,258.37 × 291.24
  4. Step 4: Simplify right side
    838.66x = 366,487.68
  5. Step 5: Solve for x
    x = 366,487.68/838.66
  6. Step 6: Final answer
    x = 436.99

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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.