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Finding the Fourth Proportional to 647.73, 971.29 and 416.75

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Solution

The fourth proportional to 647.73, 971.29 and 416.75 is: 624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 971.29 = 416.75 : x
  2. Step 2: Convert to fraction form
    647.73/971.29 = 416.75/x
  3. Step 3: Cross multiply
    647.73x = 971.29 × 416.75
  4. Step 4: Simplify right side
    647.73x = 404,780.77
  5. Step 5: Solve for x
    x = 404,780.77/647.73
  6. Step 6: Final answer
    x = 624.92

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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.