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Finding the Fourth Proportional to 288.30, 432.96 and 215.22

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Solution

The fourth proportional to 288.30, 432.96 and 215.22 is: 323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 432.96 = 215.22 : x
  2. Step 2: Convert to fraction form
    288.30/432.96 = 215.22/x
  3. Step 3: Cross multiply
    288.30x = 432.96 × 215.22
  4. Step 4: Simplify right side
    288.30x = 93,181.65
  5. Step 5: Solve for x
    x = 93,181.65/288.30
  6. Step 6: Final answer
    x = 323.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.