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Finding the Fourth Proportional to 651.70, 977.54 and 219.16

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Solution

The fourth proportional to 651.70, 977.54 and 219.16 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 977.54 = 219.16 : x
  2. Step 2: Convert to fraction form
    651.70/977.54 = 219.16/x
  3. Step 3: Cross multiply
    651.70x = 977.54 × 219.16
  4. Step 4: Simplify right side
    651.70x = 214,234.14
  5. Step 5: Solve for x
    x = 214,234.14/651.70
  6. Step 6: Final answer
    x = 328.73

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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.