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Finding the Fourth Proportional to 531.74, 733.77 and 295.68

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Solution

The fourth proportional to 531.74, 733.77 and 295.68 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 733.77 = 295.68 : x
  2. Step 2: Convert to fraction form
    531.74/733.77 = 295.68/x
  3. Step 3: Cross multiply
    531.74x = 733.77 × 295.68
  4. Step 4: Simplify right side
    531.74x = 216,961.11
  5. Step 5: Solve for x
    x = 216,961.11/531.74
  6. Step 6: Final answer
    x = 408.02

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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.