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Finding the Fourth Proportional to 451.10, 623.36 and 406.82

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Solution

The fourth proportional to 451.10, 623.36 and 406.82 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.10 : 623.36 = 406.82 : x
  2. Step 2: Convert to fraction form
    451.10/623.36 = 406.82/x
  3. Step 3: Cross multiply
    451.10x = 623.36 × 406.82
  4. Step 4: Simplify right side
    451.10x = 253,593.28
  5. Step 5: Solve for x
    x = 253,593.28/451.10
  6. Step 6: Final answer
    x = 562.17

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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.