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Finding the Fourth Proportional to 473.94, 654.12 and 308.16

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Solution

The fourth proportional to 473.94, 654.12 and 308.16 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 654.12 = 308.16 : x
  2. Step 2: Convert to fraction form
    473.94/654.12 = 308.16/x
  3. Step 3: Cross multiply
    473.94x = 654.12 × 308.16
  4. Step 4: Simplify right side
    473.94x = 201,573.62
  5. Step 5: Solve for x
    x = 201,573.62/473.94
  6. Step 6: Final answer
    x = 425.31

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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.