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Finding the Fourth Proportional to 647.69, 971.63 and 208.79

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Solution

The fourth proportional to 647.69, 971.63 and 208.79 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 971.63 = 208.79 : x
  2. Step 2: Convert to fraction form
    647.69/971.63 = 208.79/x
  3. Step 3: Cross multiply
    647.69x = 971.63 × 208.79
  4. Step 4: Simplify right side
    647.69x = 202,868.53
  5. Step 5: Solve for x
    x = 202,868.53/647.69
  6. Step 6: Final answer
    x = 313.22

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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.