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Finding the Fourth Proportional to 628.62, 942.95 and 217.77

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Solution

The fourth proportional to 628.62, 942.95 and 217.77 is: 326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 942.95 = 217.77 : x
  2. Step 2: Convert to fraction form
    628.62/942.95 = 217.77/x
  3. Step 3: Cross multiply
    628.62x = 942.95 × 217.77
  4. Step 4: Simplify right side
    628.62x = 205,347.76
  5. Step 5: Solve for x
    x = 205,347.76/628.62
  6. Step 6: Final answer
    x = 326.66

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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.