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Finding the Fourth Proportional to 481.88, 723.63 and 429.91

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Solution

The fourth proportional to 481.88, 723.63 and 429.91 is: 645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 723.63 = 429.91 : x
  2. Step 2: Convert to fraction form
    481.88/723.63 = 429.91/x
  3. Step 3: Cross multiply
    481.88x = 723.63 × 429.91
  4. Step 4: Simplify right side
    481.88x = 311,095.77
  5. Step 5: Solve for x
    x = 311,095.77/481.88
  6. Step 6: Final answer
    x = 645.59

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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.