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Finding the Fourth Proportional to 641.54, 961.59 and 317.14

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Solution

The fourth proportional to 641.54, 961.59 and 317.14 is: 475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.54 : 961.59 = 317.14 : x
  2. Step 2: Convert to fraction form
    641.54/961.59 = 317.14/x
  3. Step 3: Cross multiply
    641.54x = 961.59 × 317.14
  4. Step 4: Simplify right side
    641.54x = 304,958.65
  5. Step 5: Solve for x
    x = 304,958.65/641.54
  6. Step 6: Final answer
    x = 475.35

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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.