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Finding the Fourth Proportional to 652.64, 977.40 and 327.28

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Solution

The fourth proportional to 652.64, 977.40 and 327.28 is: 490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 977.40 = 327.28 : x
  2. Step 2: Convert to fraction form
    652.64/977.40 = 327.28/x
  3. Step 3: Cross multiply
    652.64x = 977.40 × 327.28
  4. Step 4: Simplify right side
    652.64x = 319,883.47
  5. Step 5: Solve for x
    x = 319,883.47/652.64
  6. Step 6: Final answer
    x = 490.14

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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.