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Finding the Fourth Proportional to 647.11, 970.43 and 208.34

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Solution

The fourth proportional to 647.11, 970.43 and 208.34 is: 312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.11 : 970.43 = 208.34 : x
  2. Step 2: Convert to fraction form
    647.11/970.43 = 208.34/x
  3. Step 3: Cross multiply
    647.11x = 970.43 × 208.34
  4. Step 4: Simplify right side
    647.11x = 202,180.51
  5. Step 5: Solve for x
    x = 202,180.51/647.11
  6. Step 6: Final answer
    x = 312.44

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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.