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Finding the Fourth Proportional to 286.21, 429.72 and 284.59

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Solution

The fourth proportional to 286.21, 429.72 and 284.59 is: 427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.21 : 429.72 = 284.59 : x
  2. Step 2: Convert to fraction form
    286.21/429.72 = 284.59/x
  3. Step 3: Cross multiply
    286.21x = 429.72 × 284.59
  4. Step 4: Simplify right side
    286.21x = 122,294.01
  5. Step 5: Solve for x
    x = 122,294.01/286.21
  6. Step 6: Final answer
    x = 427.29

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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.