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Finding the Fourth Proportional to 288.36, 429.10 and 278.44

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Solution

The fourth proportional to 288.36, 429.10 and 278.44 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 429.10 = 278.44 : x
  2. Step 2: Convert to fraction form
    288.36/429.10 = 278.44/x
  3. Step 3: Cross multiply
    288.36x = 429.10 × 278.44
  4. Step 4: Simplify right side
    288.36x = 119,476.84
  5. Step 5: Solve for x
    x = 119,476.84/288.36
  6. Step 6: Final answer
    x = 414.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.