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Finding the Fourth Proportional to 531.59, 734.29 and 443.36

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Solution

The fourth proportional to 531.59, 734.29 and 443.36 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.59 : 734.29 = 443.36 : x
  2. Step 2: Convert to fraction form
    531.59/734.29 = 443.36/x
  3. Step 3: Cross multiply
    531.59x = 734.29 × 443.36
  4. Step 4: Simplify right side
    531.59x = 325,553.91
  5. Step 5: Solve for x
    x = 325,553.91/531.59
  6. Step 6: Final answer
    x = 612.41

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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.