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Finding the Fourth Proportional to 557.23, 834.73 and 260.32

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Solution

The fourth proportional to 557.23, 834.73 and 260.32 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.23 : 834.73 = 260.32 : x
  2. Step 2: Convert to fraction form
    557.23/834.73 = 260.32/x
  3. Step 3: Cross multiply
    557.23x = 834.73 × 260.32
  4. Step 4: Simplify right side
    557.23x = 217,296.91
  5. Step 5: Solve for x
    x = 217,296.91/557.23
  6. Step 6: Final answer
    x = 389.96

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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.