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Finding the Fourth Proportional to 465.90, 641.36 and 355.34

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Solution

The fourth proportional to 465.90, 641.36 and 355.34 is: 489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 641.36 = 355.34 : x
  2. Step 2: Convert to fraction form
    465.90/641.36 = 355.34/x
  3. Step 3: Cross multiply
    465.90x = 641.36 × 355.34
  4. Step 4: Simplify right side
    465.90x = 227,895.88
  5. Step 5: Solve for x
    x = 227,895.88/465.90
  6. Step 6: Final answer
    x = 489.15

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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.