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Finding the Fourth Proportional to 557.53, 834.50 and 313.21

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Solution

The fourth proportional to 557.53, 834.50 and 313.21 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 834.50 = 313.21 : x
  2. Step 2: Convert to fraction form
    557.53/834.50 = 313.21/x
  3. Step 3: Cross multiply
    557.53x = 834.50 × 313.21
  4. Step 4: Simplify right side
    557.53x = 261,372.18
  5. Step 5: Solve for x
    x = 261,372.18/557.53
  6. Step 6: Final answer
    x = 468.80

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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.