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Finding the Fourth Proportional to 473.90, 654.02 and 264.12

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Solution

The fourth proportional to 473.90, 654.02 and 264.12 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.90 : 654.02 = 264.12 : x
  2. Step 2: Convert to fraction form
    473.90/654.02 = 264.12/x
  3. Step 3: Cross multiply
    473.90x = 654.02 × 264.12
  4. Step 4: Simplify right side
    473.90x = 172,736.49
  5. Step 5: Solve for x
    x = 172,736.49/473.90
  6. Step 6: Final answer
    x = 364.50

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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.