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Finding the Fourth Proportional to 451.71, 623.18 and 294.53

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Solution

The fourth proportional to 451.71, 623.18 and 294.53 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 623.18 = 294.53 : x
  2. Step 2: Convert to fraction form
    451.71/623.18 = 294.53/x
  3. Step 3: Cross multiply
    451.71x = 623.18 × 294.53
  4. Step 4: Simplify right side
    451.71x = 183,542.83
  5. Step 5: Solve for x
    x = 183,542.83/451.71
  6. Step 6: Final answer
    x = 406.33

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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.