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Finding the Fourth Proportional to 651.58, 977.42 and 218.77

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Solution

The fourth proportional to 651.58, 977.42 and 218.77 is: 328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.58 : 977.42 = 218.77 : x
  2. Step 2: Convert to fraction form
    651.58/977.42 = 218.77/x
  3. Step 3: Cross multiply
    651.58x = 977.42 × 218.77
  4. Step 4: Simplify right side
    651.58x = 213,830.17
  5. Step 5: Solve for x
    x = 213,830.17/651.58
  6. Step 6: Final answer
    x = 328.17

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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.