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Finding the Fourth Proportional to 531.98, 733.74 and 357.02

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Solution

The fourth proportional to 531.98, 733.74 and 357.02 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.98 : 733.74 = 357.02 : x
  2. Step 2: Convert to fraction form
    531.98/733.74 = 357.02/x
  3. Step 3: Cross multiply
    531.98x = 733.74 × 357.02
  4. Step 4: Simplify right side
    531.98x = 261,959.85
  5. Step 5: Solve for x
    x = 261,959.85/531.98
  6. Step 6: Final answer
    x = 492.42

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