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Finding the Fourth Proportional to 329.76, 492.24 and 288.75

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Solution

The fourth proportional to 329.76, 492.24 and 288.75 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 492.24 = 288.75 : x
  2. Step 2: Convert to fraction form
    329.76/492.24 = 288.75/x
  3. Step 3: Cross multiply
    329.76x = 492.24 × 288.75
  4. Step 4: Simplify right side
    329.76x = 142,134.30
  5. Step 5: Solve for x
    x = 142,134.30/329.76
  6. Step 6: Final answer
    x = 431.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.