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Finding the Fourth Proportional to 451.64, 623.06 and 265.14

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Solution

The fourth proportional to 451.64, 623.06 and 265.14 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 623.06 = 265.14 : x
  2. Step 2: Convert to fraction form
    451.64/623.06 = 265.14/x
  3. Step 3: Cross multiply
    451.64x = 623.06 × 265.14
  4. Step 4: Simplify right side
    451.64x = 165,198.13
  5. Step 5: Solve for x
    x = 165,198.13/451.64
  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.