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Finding the Fourth Proportional to 651.67, 977.51 and 218.81

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Solution

The fourth proportional to 651.67, 977.51 and 218.81 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 977.51 = 218.81 : x
  2. Step 2: Convert to fraction form
    651.67/977.51 = 218.81/x
  3. Step 3: Cross multiply
    651.67x = 977.51 × 218.81
  4. Step 4: Simplify right side
    651.67x = 213,891.95
  5. Step 5: Solve for x
    x = 213,891.95/651.67
  6. Step 6: Final answer
    x = 328.22

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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.