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Finding the Fourth Proportional to 329.16, 494.64 and 288.48

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Solution

The fourth proportional to 329.16, 494.64 and 288.48 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 494.64 = 288.48 : x
  2. Step 2: Convert to fraction form
    329.16/494.64 = 288.48/x
  3. Step 3: Cross multiply
    329.16x = 494.64 × 288.48
  4. Step 4: Simplify right side
    329.16x = 142,693.75
  5. Step 5: Solve for x
    x = 142,693.75/329.16
  6. Step 6: Final answer
    x = 433.51

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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.