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Finding the Fourth Proportional to 286.54, 396.29 and 259.00

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Solution

The fourth proportional to 286.54, 396.29 and 259.00 is: 358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.54 : 396.29 = 259.00 : x
  2. Step 2: Convert to fraction form
    286.54/396.29 = 259.00/x
  3. Step 3: Cross multiply
    286.54x = 396.29 × 259.00
  4. Step 4: Simplify right side
    286.54x = 102,638.77
  5. Step 5: Solve for x
    x = 102,638.77/286.54
  6. Step 6: Final answer
    x = 358.20

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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.