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Finding the Fourth Proportional to 451.77, 623.24 and 265.14

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Solution

The fourth proportional to 451.77, 623.24 and 265.14 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.77 : 623.24 = 265.14 : x
  2. Step 2: Convert to fraction form
    451.77/623.24 = 265.14/x
  3. Step 3: Cross multiply
    451.77x = 623.24 × 265.14
  4. Step 4: Simplify right side
    451.77x = 165,244.53
  5. Step 5: Solve for x
    x = 165,244.53/451.77
  6. Step 6: Final answer
    x = 365.77

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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.