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Finding the Fourth Proportional to 286.35, 429.03 and 257.82

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Solution

The fourth proportional to 286.35, 429.03 and 257.82 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.35 : 429.03 = 257.82 : x
  2. Step 2: Convert to fraction form
    286.35/429.03 = 257.82/x
  3. Step 3: Cross multiply
    286.35x = 429.03 × 257.82
  4. Step 4: Simplify right side
    286.35x = 110,612.51
  5. Step 5: Solve for x
    x = 110,612.51/286.35
  6. Step 6: Final answer
    x = 386.28

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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.