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Finding the Fourth Proportional to 557.53, 833.82 and 496.28

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Solution

The fourth proportional to 557.53, 833.82 and 496.28 is: 742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 833.82 = 496.28 : x
  2. Step 2: Convert to fraction form
    557.53/833.82 = 496.28/x
  3. Step 3: Cross multiply
    557.53x = 833.82 × 496.28
  4. Step 4: Simplify right side
    557.53x = 413,805.12
  5. Step 5: Solve for x
    x = 413,805.12/557.53
  6. Step 6: Final answer
    x = 742.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.