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Finding the Fourth Proportional to 451.77, 622.92 and 312.09

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Solution

The fourth proportional to 451.77, 622.92 and 312.09 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.77 : 622.92 = 312.09 : x
  2. Step 2: Convert to fraction form
    451.77/622.92 = 312.09/x
  3. Step 3: Cross multiply
    451.77x = 622.92 × 312.09
  4. Step 4: Simplify right side
    451.77x = 194,407.10
  5. Step 5: Solve for x
    x = 194,407.10/451.77
  6. Step 6: Final answer
    x = 430.32

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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.