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Finding the Fourth Proportional to 557.31, 835.40 and 264.29

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Solution

The fourth proportional to 557.31, 835.40 and 264.29 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 835.40 = 264.29 : x
  2. Step 2: Convert to fraction form
    557.31/835.40 = 264.29/x
  3. Step 3: Cross multiply
    557.31x = 835.40 × 264.29
  4. Step 4: Simplify right side
    557.31x = 220,782.37
  5. Step 5: Solve for x
    x = 220,782.37/557.31
  6. Step 6: Final answer
    x = 396.16

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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.