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Finding the Fourth Proportional to 473.28, 653.44 and 305.54

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Solution

The fourth proportional to 473.28, 653.44 and 305.54 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 653.44 = 305.54 : x
  2. Step 2: Convert to fraction form
    473.28/653.44 = 305.54/x
  3. Step 3: Cross multiply
    473.28x = 653.44 × 305.54
  4. Step 4: Simplify right side
    473.28x = 199,652.06
  5. Step 5: Solve for x
    x = 199,652.06/473.28
  6. Step 6: Final answer
    x = 421.85

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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.