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Finding the Fourth Proportional to 288.84, 434.88 and 217.32

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Solution

The fourth proportional to 288.84, 434.88 and 217.32 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 434.88 = 217.32 : x
  2. Step 2: Convert to fraction form
    288.84/434.88 = 217.32/x
  3. Step 3: Cross multiply
    288.84x = 434.88 × 217.32
  4. Step 4: Simplify right side
    288.84x = 94,508.12
  5. Step 5: Solve for x
    x = 94,508.12/288.84
  6. Step 6: Final answer
    x = 327.20

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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.