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Finding the Fourth Proportional to 557.22, 834.21 and 313.42

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Solution

The fourth proportional to 557.22, 834.21 and 313.42 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 834.21 = 313.42 : x
  2. Step 2: Convert to fraction form
    557.22/834.21 = 313.42/x
  3. Step 3: Cross multiply
    557.22x = 834.21 × 313.42
  4. Step 4: Simplify right side
    557.22x = 261,458.10
  5. Step 5: Solve for x
    x = 261,458.10/557.22
  6. Step 6: Final answer
    x = 469.22

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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.