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Finding the Fourth Proportional to 288.32, 434.55 and 248.22

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Solution

The fourth proportional to 288.32, 434.55 and 248.22 is: 374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 434.55 = 248.22 : x
  2. Step 2: Convert to fraction form
    288.32/434.55 = 248.22/x
  3. Step 3: Cross multiply
    288.32x = 434.55 × 248.22
  4. Step 4: Simplify right side
    288.32x = 107,864.93
  5. Step 5: Solve for x
    x = 107,864.93/288.32
  6. Step 6: Final answer
    x = 374.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.