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Finding the Fourth Proportional to 652.40, 977.99 and 327.38

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Solution

The fourth proportional to 652.40, 977.99 and 327.38 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.40 : 977.99 = 327.38 : x
  2. Step 2: Convert to fraction form
    652.40/977.99 = 327.38/x
  3. Step 3: Cross multiply
    652.40x = 977.99 × 327.38
  4. Step 4: Simplify right side
    652.40x = 320,175.17
  5. Step 5: Solve for x
    x = 320,175.17/652.40
  6. Step 6: Final answer
    x = 490.77

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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.