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Finding the Fourth Proportional to 473.29, 652.79 and 326.27

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Solution

The fourth proportional to 473.29, 652.79 and 326.27 is: 450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.29 : 652.79 = 326.27 : x
  2. Step 2: Convert to fraction form
    473.29/652.79 = 326.27/x
  3. Step 3: Cross multiply
    473.29x = 652.79 × 326.27
  4. Step 4: Simplify right side
    473.29x = 212,988.24
  5. Step 5: Solve for x
    x = 212,988.24/473.29
  6. Step 6: Final answer
    x = 450.02

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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.