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Finding the Fourth Proportional to 288.51, 432.78 and 83.09

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Solution

The fourth proportional to 288.51, 432.78 and 83.09 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 432.78 = 83.09 : x
  2. Step 2: Convert to fraction form
    288.51/432.78 = 83.09/x
  3. Step 3: Cross multiply
    288.51x = 432.78 × 83.09
  4. Step 4: Simplify right side
    288.51x = 35,960.46
  5. Step 5: Solve for x
    x = 35,960.46/288.51
  6. Step 6: Final answer
    x = 124.64

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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.