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Finding the Fourth Proportional to 286.50, 429.24 and 256.08

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Solution

The fourth proportional to 286.50, 429.24 and 256.08 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 429.24 = 256.08 : x
  2. Step 2: Convert to fraction form
    286.50/429.24 = 256.08/x
  3. Step 3: Cross multiply
    286.50x = 429.24 × 256.08
  4. Step 4: Simplify right side
    286.50x = 109,919.78
  5. Step 5: Solve for x
    x = 109,919.78/286.50
  6. Step 6: Final answer
    x = 383.66

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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.