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Finding the Fourth Proportional to 531.91, 734.03 and 299.03

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Solution

The fourth proportional to 531.91, 734.03 and 299.03 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.91 : 734.03 = 299.03 : x
  2. Step 2: Convert to fraction form
    531.91/734.03 = 299.03/x
  3. Step 3: Cross multiply
    531.91x = 734.03 × 299.03
  4. Step 4: Simplify right side
    531.91x = 219,495.50
  5. Step 5: Solve for x
    x = 219,495.50/531.91
  6. Step 6: Final answer
    x = 412.66

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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.