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Finding the Fourth Proportional to 451.61, 623.09 and 265.07

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Solution

The fourth proportional to 451.61, 623.09 and 265.07 is: 365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 623.09 = 265.07 : x
  2. Step 2: Convert to fraction form
    451.61/623.09 = 265.07/x
  3. Step 3: Cross multiply
    451.61x = 623.09 × 265.07
  4. Step 4: Simplify right side
    451.61x = 165,164.69
  5. Step 5: Solve for x
    x = 165,164.69/451.61
  6. Step 6: Final answer
    x = 365.73

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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.