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Finding the Fourth Proportional to 641.04, 960.89 and 294.17

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Solution

The fourth proportional to 641.04, 960.89 and 294.17 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.04 : 960.89 = 294.17 : x
  2. Step 2: Convert to fraction form
    641.04/960.89 = 294.17/x
  3. Step 3: Cross multiply
    641.04x = 960.89 × 294.17
  4. Step 4: Simplify right side
    641.04x = 282,658.74
  5. Step 5: Solve for x
    x = 282,658.74/641.04
  6. Step 6: Final answer
    x = 440.94

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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.