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Finding the Fourth Proportional to 288.48, 397.80 and 214.68

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Solution

The fourth proportional to 288.48, 397.80 and 214.68 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 397.80 = 214.68 : x
  2. Step 2: Convert to fraction form
    288.48/397.80 = 214.68/x
  3. Step 3: Cross multiply
    288.48x = 397.80 × 214.68
  4. Step 4: Simplify right side
    288.48x = 85,399.70
  5. Step 5: Solve for x
    x = 85,399.70/288.48
  6. Step 6: Final answer
    x = 296.03

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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.