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Finding the Fourth Proportional to 641.58, 885.38 and 346.85

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Solution

The fourth proportional to 641.58, 885.38 and 346.85 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.58 : 885.38 = 346.85 : x
  2. Step 2: Convert to fraction form
    641.58/885.38 = 346.85/x
  3. Step 3: Cross multiply
    641.58x = 885.38 × 346.85
  4. Step 4: Simplify right side
    641.58x = 307,091.29
  5. Step 5: Solve for x
    x = 307,091.29/641.58
  6. Step 6: Final answer
    x = 478.65

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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.