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Finding the Fourth Proportional to 473.66, 654.16 and 422.13

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Solution

The fourth proportional to 473.66, 654.16 and 422.13 is: 582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 654.16 = 422.13 : x
  2. Step 2: Convert to fraction form
    473.66/654.16 = 422.13/x
  3. Step 3: Cross multiply
    473.66x = 654.16 × 422.13
  4. Step 4: Simplify right side
    473.66x = 276,140.56
  5. Step 5: Solve for x
    x = 276,140.56/473.66
  6. Step 6: Final answer
    x = 582.99

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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.