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Finding the Fourth Proportional to 451.83, 623.47 and 252.66

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Solution

The fourth proportional to 451.83, 623.47 and 252.66 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 623.47 = 252.66 : x
  2. Step 2: Convert to fraction form
    451.83/623.47 = 252.66/x
  3. Step 3: Cross multiply
    451.83x = 623.47 × 252.66
  4. Step 4: Simplify right side
    451.83x = 157,525.93
  5. Step 5: Solve for x
    x = 157,525.93/451.83
  6. Step 6: Final answer
    x = 348.64

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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.