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Finding the Fourth Proportional to 647.33, 970.85 and 214.25

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Solution

The fourth proportional to 647.33, 970.85 and 214.25 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.33 : 970.85 = 214.25 : x
  2. Step 2: Convert to fraction form
    647.33/970.85 = 214.25/x
  3. Step 3: Cross multiply
    647.33x = 970.85 × 214.25
  4. Step 4: Simplify right side
    647.33x = 208,000.29
  5. Step 5: Solve for x
    x = 208,000.29/647.33
  6. Step 6: Final answer
    x = 321.32

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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.