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Finding the Fourth Proportional to 288.86, 432.51 and 220.06

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Solution

The fourth proportional to 288.86, 432.51 and 220.06 is: 329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 432.51 = 220.06 : x
  2. Step 2: Convert to fraction form
    288.86/432.51 = 220.06/x
  3. Step 3: Cross multiply
    288.86x = 432.51 × 220.06
  4. Step 4: Simplify right side
    288.86x = 95,175.99
  5. Step 5: Solve for x
    x = 95,175.99/288.86
  6. Step 6: Final answer
    x = 329.49

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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.