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Finding the Fourth Proportional to 652.07, 977.83 and 219.26

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Solution

The fourth proportional to 652.07, 977.83 and 219.26 is: 328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 977.83 = 219.26 : x
  2. Step 2: Convert to fraction form
    652.07/977.83 = 219.26/x
  3. Step 3: Cross multiply
    652.07x = 977.83 × 219.26
  4. Step 4: Simplify right side
    652.07x = 214,399.01
  5. Step 5: Solve for x
    x = 214,399.01/652.07
  6. Step 6: Final answer
    x = 328.80

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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.