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Finding the Fourth Proportional to 465.69, 641.98 and 332.83

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Solution

The fourth proportional to 465.69, 641.98 and 332.83 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 641.98 = 332.83 : x
  2. Step 2: Convert to fraction form
    465.69/641.98 = 332.83/x
  3. Step 3: Cross multiply
    465.69x = 641.98 × 332.83
  4. Step 4: Simplify right side
    465.69x = 213,670.20
  5. Step 5: Solve for x
    x = 213,670.20/465.69
  6. Step 6: Final answer
    x = 458.82

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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.