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Finding the Fourth Proportional to 451.77, 623.52 and 265.25

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Solution

The fourth proportional to 451.77, 623.52 and 265.25 is: 366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.77 : 623.52 = 265.25 : x
  2. Step 2: Convert to fraction form
    451.77/623.52 = 265.25/x
  3. Step 3: Cross multiply
    451.77x = 623.52 × 265.25
  4. Step 4: Simplify right side
    451.77x = 165,388.68
  5. Step 5: Solve for x
    x = 165,388.68/451.77
  6. Step 6: Final answer
    x = 366.09

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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.