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Finding the Fourth Proportional to 468.01, 701.20 and 451.23

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Solution

The fourth proportional to 468.01, 701.20 and 451.23 is: 676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.01 : 701.20 = 451.23 : x
  2. Step 2: Convert to fraction form
    468.01/701.20 = 451.23/x
  3. Step 3: Cross multiply
    468.01x = 701.20 × 451.23
  4. Step 4: Simplify right side
    468.01x = 316,402.48
  5. Step 5: Solve for x
    x = 316,402.48/468.01
  6. Step 6: Final answer
    x = 676.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.