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Finding the Fourth Proportional to 647.74, 971.14 and 208.85

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Solution

The fourth proportional to 647.74, 971.14 and 208.85 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.74 : 971.14 = 208.85 : x
  2. Step 2: Convert to fraction form
    647.74/971.14 = 208.85/x
  3. Step 3: Cross multiply
    647.74x = 971.14 × 208.85
  4. Step 4: Simplify right side
    647.74x = 202,822.59
  5. Step 5: Solve for x
    x = 202,822.59/647.74
  6. Step 6: Final answer
    x = 313.13

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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.