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Finding the Fourth Proportional to 648.62, 971.13 and 417.14

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Solution

The fourth proportional to 648.62, 971.13 and 417.14 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 971.13 = 417.14 : x
  2. Step 2: Convert to fraction form
    648.62/971.13 = 417.14/x
  3. Step 3: Cross multiply
    648.62x = 971.13 × 417.14
  4. Step 4: Simplify right side
    648.62x = 405,097.17
  5. Step 5: Solve for x
    x = 405,097.17/648.62
  6. Step 6: Final answer
    x = 624.55

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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.