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Finding the Fourth Proportional to 647.75, 970.89 and 416.09

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Solution

The fourth proportional to 647.75, 970.89 and 416.09 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.75 : 970.89 = 416.09 : x
  2. Step 2: Convert to fraction form
    647.75/970.89 = 416.09/x
  3. Step 3: Cross multiply
    647.75x = 970.89 × 416.09
  4. Step 4: Simplify right side
    647.75x = 403,977.62
  5. Step 5: Solve for x
    x = 403,977.62/647.75
  6. Step 6: Final answer
    x = 623.66

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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.