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Finding the Fourth Proportional to 329.30, 466.51 and 329.30

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Solution

The fourth proportional to 329.30, 466.51 and 329.30 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.30 : 466.51 = 329.30 : x
  2. Step 2: Convert to fraction form
    329.30/466.51 = 329.30/x
  3. Step 3: Cross multiply
    329.30x = 466.51 × 329.30
  4. Step 4: Simplify right side
    329.30x = 153,621.74
  5. Step 5: Solve for x
    x = 153,621.74/329.30
  6. Step 6: Final answer
    x = 466.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.