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Finding the Fourth Proportional to 473.96, 654.06 and 264.14

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Solution

The fourth proportional to 473.96, 654.06 and 264.14 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.96 : 654.06 = 264.14 : x
  2. Step 2: Convert to fraction form
    473.96/654.06 = 264.14/x
  3. Step 3: Cross multiply
    473.96x = 654.06 × 264.14
  4. Step 4: Simplify right side
    473.96x = 172,765.04
  5. Step 5: Solve for x
    x = 172,765.04/473.96
  6. Step 6: Final answer
    x = 364.52

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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.