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Finding the Fourth Proportional to 288.60, 432.63 and 216.24

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Solution

The fourth proportional to 288.60, 432.63 and 216.24 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 432.63 = 216.24 : x
  2. Step 2: Convert to fraction form
    288.60/432.63 = 216.24/x
  3. Step 3: Cross multiply
    288.60x = 432.63 × 216.24
  4. Step 4: Simplify right side
    288.60x = 93,551.91
  5. Step 5: Solve for x
    x = 93,551.91/288.60
  6. Step 6: Final answer
    x = 324.16

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Why These Related Problems?

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