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Finding the Fourth Proportional to 647.82, 971.15 and 416.88

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Solution

The fourth proportional to 647.82, 971.15 and 416.88 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.82 : 971.15 = 416.88 : x
  2. Step 2: Convert to fraction form
    647.82/971.15 = 416.88/x
  3. Step 3: Cross multiply
    647.82x = 971.15 × 416.88
  4. Step 4: Simplify right side
    647.82x = 404,850.93
  5. Step 5: Solve for x
    x = 404,850.93/647.82
  6. Step 6: Final answer
    x = 624.94

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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.