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Finding the Fourth Proportional to 557.08, 835.79 and 264.80

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Solution

The fourth proportional to 557.08, 835.79 and 264.80 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.08 : 835.79 = 264.80 : x
  2. Step 2: Convert to fraction form
    557.08/835.79 = 264.80/x
  3. Step 3: Cross multiply
    557.08x = 835.79 × 264.80
  4. Step 4: Simplify right side
    557.08x = 221,317.96
  5. Step 5: Solve for x
    x = 221,317.96/557.08
  6. Step 6: Final answer
    x = 397.28

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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.