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Finding the Fourth Proportional to 473.98, 654.08 and 264.17

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Solution

The fourth proportional to 473.98, 654.08 and 264.17 is: 364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 654.08 = 264.17 : x
  2. Step 2: Convert to fraction form
    473.98/654.08 = 264.17/x
  3. Step 3: Cross multiply
    473.98x = 654.08 × 264.17
  4. Step 4: Simplify right side
    473.98x = 172,784.03
  5. Step 5: Solve for x
    x = 172,784.03/473.98
  6. Step 6: Final answer
    x = 364.54

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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.