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Finding the Fourth Proportional to 473.78, 653.81 and 277.43

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Solution

The fourth proportional to 473.78, 653.81 and 277.43 is: 382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 653.81 = 277.43 : x
  2. Step 2: Convert to fraction form
    473.78/653.81 = 277.43/x
  3. Step 3: Cross multiply
    473.78x = 653.81 × 277.43
  4. Step 4: Simplify right side
    473.78x = 181,381.85
  5. Step 5: Solve for x
    x = 181,381.85/473.78
  6. Step 6: Final answer
    x = 382.84

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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.