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Finding the Fourth Proportional to 473.54, 653.78 and 305.78

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Solution

The fourth proportional to 473.54, 653.78 and 305.78 is: 422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.54 : 653.78 = 305.78 : x
  2. Step 2: Convert to fraction form
    473.54/653.78 = 305.78/x
  3. Step 3: Cross multiply
    473.54x = 653.78 × 305.78
  4. Step 4: Simplify right side
    473.54x = 199,910.34
  5. Step 5: Solve for x
    x = 199,910.34/473.54
  6. Step 6: Final answer
    x = 422.17

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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.