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Finding the Fourth Proportional to 523.02, 721.40 and 326.46

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Solution

The fourth proportional to 523.02, 721.40 and 326.46 is: 450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 721.40 = 326.46 : x
  2. Step 2: Convert to fraction form
    523.02/721.40 = 326.46/x
  3. Step 3: Cross multiply
    523.02x = 721.40 × 326.46
  4. Step 4: Simplify right side
    523.02x = 235,506.61
  5. Step 5: Solve for x
    x = 235,506.61/523.02
  6. Step 6: Final answer
    x = 450.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.