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Finding the Fourth Proportional to 288.51, 398.71 and 218.52

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Solution

The fourth proportional to 288.51, 398.71 and 218.52 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 398.71 = 218.52 : x
  2. Step 2: Convert to fraction form
    288.51/398.71 = 218.52/x
  3. Step 3: Cross multiply
    288.51x = 398.71 × 218.52
  4. Step 4: Simplify right side
    288.51x = 87,123.02
  5. Step 5: Solve for x
    x = 87,123.02/288.51
  6. Step 6: Final answer
    x = 301.98

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