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Finding the Fourth Proportional to 468.29, 700.73 and 451.89

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Solution

The fourth proportional to 468.29, 700.73 and 451.89 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.29 : 700.73 = 451.89 : x
  2. Step 2: Convert to fraction form
    468.29/700.73 = 451.89/x
  3. Step 3: Cross multiply
    468.29x = 700.73 × 451.89
  4. Step 4: Simplify right side
    468.29x = 316,650.62
  5. Step 5: Solve for x
    x = 316,650.62/468.29
  6. Step 6: Final answer
    x = 676.19

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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.