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Finding the Fourth Proportional to 332.64, 456.39 and 329.58

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Solution

The fourth proportional to 332.64, 456.39 and 329.58 is: 452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 456.39 = 329.58 : x
  2. Step 2: Convert to fraction form
    332.64/456.39 = 329.58/x
  3. Step 3: Cross multiply
    332.64x = 456.39 × 329.58
  4. Step 4: Simplify right side
    332.64x = 150,417.02
  5. Step 5: Solve for x
    x = 150,417.02/332.64
  6. Step 6: Final answer
    x = 452.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.