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Finding the Fourth Proportional to 652.34, 977.31 and 327.70

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Solution

The fourth proportional to 652.34, 977.31 and 327.70 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 977.31 = 327.70 : x
  2. Step 2: Convert to fraction form
    652.34/977.31 = 327.70/x
  3. Step 3: Cross multiply
    652.34x = 977.31 × 327.70
  4. Step 4: Simplify right side
    652.34x = 320,264.49
  5. Step 5: Solve for x
    x = 320,264.49/652.34
  6. Step 6: Final answer
    x = 490.95

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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.