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Finding the Fourth Proportional to 451.68, 623 and 277.12

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Solution

The fourth proportional to 451.68, 623 and 277.12 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 623 = 277.12 : x
  2. Step 2: Convert to fraction form
    451.68/623 = 277.12/x
  3. Step 3: Cross multiply
    451.68x = 623 × 277.12
  4. Step 4: Simplify right side
    451.68x = 172,645.76
  5. Step 5: Solve for x
    x = 172,645.76/451.68
  6. Step 6: Final answer
    x = 382.23

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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.