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Finding the Fourth Proportional to 651.56, 977.40 and 218.76

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Solution

The fourth proportional to 651.56, 977.40 and 218.76 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.56 : 977.40 = 218.76 : x
  2. Step 2: Convert to fraction form
    651.56/977.40 = 218.76/x
  3. Step 3: Cross multiply
    651.56x = 977.40 × 218.76
  4. Step 4: Simplify right side
    651.56x = 213,816.02
  5. Step 5: Solve for x
    x = 213,816.02/651.56
  6. Step 6: Final answer
    x = 328.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.