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Finding the Fourth Proportional to 451.76, 623.28 and 393.44

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Solution

The fourth proportional to 451.76, 623.28 and 393.44 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 623.28 = 393.44 : x
  2. Step 2: Convert to fraction form
    451.76/623.28 = 393.44/x
  3. Step 3: Cross multiply
    451.76x = 623.28 × 393.44
  4. Step 4: Simplify right side
    451.76x = 245,223.28
  5. Step 5: Solve for x
    x = 245,223.28/451.76
  6. Step 6: Final answer
    x = 542.82

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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.