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Finding the Fourth Proportional to 473.38, 653.27 and 266.38

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Solution

The fourth proportional to 473.38, 653.27 and 266.38 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.38 : 653.27 = 266.38 : x
  2. Step 2: Convert to fraction form
    473.38/653.27 = 266.38/x
  3. Step 3: Cross multiply
    473.38x = 653.27 × 266.38
  4. Step 4: Simplify right side
    473.38x = 174,018.06
  5. Step 5: Solve for x
    x = 174,018.06/473.38
  6. Step 6: Final answer
    x = 367.61

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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.