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Finding the Fourth Proportional to 451.62, 623.14 and 265.11

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Solution

The fourth proportional to 451.62, 623.14 and 265.11 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 623.14 = 265.11 : x
  2. Step 2: Convert to fraction form
    451.62/623.14 = 265.11/x
  3. Step 3: Cross multiply
    451.62x = 623.14 × 265.11
  4. Step 4: Simplify right side
    451.62x = 165,196.20
  5. Step 5: Solve for x
    x = 165,196.20/451.62
  6. Step 6: Final answer
    x = 365.78

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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.