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Finding the Fourth Proportional to 531.96, 734.07 and 299.10

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Solution

The fourth proportional to 531.96, 734.07 and 299.10 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 734.07 = 299.10 : x
  2. Step 2: Convert to fraction form
    531.96/734.07 = 299.10/x
  3. Step 3: Cross multiply
    531.96x = 734.07 × 299.10
  4. Step 4: Simplify right side
    531.96x = 219,560.34
  5. Step 5: Solve for x
    x = 219,560.34/531.96
  6. Step 6: Final answer
    x = 412.74

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Why These Related Problems?

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