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Finding the Fourth Proportional to 557.21, 835.68 and 264.53

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Solution

The fourth proportional to 557.21, 835.68 and 264.53 is: 396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 835.68 = 264.53 : x
  2. Step 2: Convert to fraction form
    557.21/835.68 = 264.53/x
  3. Step 3: Cross multiply
    557.21x = 835.68 × 264.53
  4. Step 4: Simplify right side
    557.21x = 221,062.43
  5. Step 5: Solve for x
    x = 221,062.43/557.21
  6. Step 6: Final answer
    x = 396.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.