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Finding the Fourth Proportional to 473.09, 652.82 and 266.09

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Solution

The fourth proportional to 473.09, 652.82 and 266.09 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 652.82 = 266.09 : x
  2. Step 2: Convert to fraction form
    473.09/652.82 = 266.09/x
  3. Step 3: Cross multiply
    473.09x = 652.82 × 266.09
  4. Step 4: Simplify right side
    473.09x = 173,704.28
  5. Step 5: Solve for x
    x = 173,704.28/473.09
  6. Step 6: Final answer
    x = 367.17

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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.