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Finding the Fourth Proportional to 287.78, 429.71 and 236.52

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Solution

The fourth proportional to 287.78, 429.71 and 236.52 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.78 : 429.71 = 236.52 : x
  2. Step 2: Convert to fraction form
    287.78/429.71 = 236.52/x
  3. Step 3: Cross multiply
    287.78x = 429.71 × 236.52
  4. Step 4: Simplify right side
    287.78x = 101,633.83
  5. Step 5: Solve for x
    x = 101,633.83/287.78
  6. Step 6: Final answer
    x = 353.17

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