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Finding the Fourth Proportional to 288.93, 398.62 and 236.69

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Solution

The fourth proportional to 288.93, 398.62 and 236.69 is: 326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.93 : 398.62 = 236.69 : x
  2. Step 2: Convert to fraction form
    288.93/398.62 = 236.69/x
  3. Step 3: Cross multiply
    288.93x = 398.62 × 236.69
  4. Step 4: Simplify right side
    288.93x = 94,349.17
  5. Step 5: Solve for x
    x = 94,349.17/288.93
  6. Step 6: Final answer
    x = 326.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.