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Finding the Fourth Proportional to 557.50, 769.27 and 358.22

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Solution

The fourth proportional to 557.50, 769.27 and 358.22 is: 494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 769.27 = 358.22 : x
  2. Step 2: Convert to fraction form
    557.50/769.27 = 358.22/x
  3. Step 3: Cross multiply
    557.50x = 769.27 × 358.22
  4. Step 4: Simplify right side
    557.50x = 275,567.90
  5. Step 5: Solve for x
    x = 275,567.90/557.50
  6. Step 6: Final answer
    x = 494.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.