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Finding the Fourth Proportional to 648.68, 972.11 and 356.24

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Solution

The fourth proportional to 648.68, 972.11 and 356.24 is: 533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 972.11 = 356.24 : x
  2. Step 2: Convert to fraction form
    648.68/972.11 = 356.24/x
  3. Step 3: Cross multiply
    648.68x = 972.11 × 356.24
  4. Step 4: Simplify right side
    648.68x = 346,297.82
  5. Step 5: Solve for x
    x = 346,297.82/648.68
  6. Step 6: Final answer
    x = 533.85

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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.