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Finding the Fourth Proportional to 531.93, 734.00 and 299.06

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Solution

The fourth proportional to 531.93, 734.00 and 299.06 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.93 : 734.00 = 299.06 : x
  2. Step 2: Convert to fraction form
    531.93/734.00 = 299.06/x
  3. Step 3: Cross multiply
    531.93x = 734.00 × 299.06
  4. Step 4: Simplify right side
    531.93x = 219,504.87
  5. Step 5: Solve for x
    x = 219,504.87/531.93
  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.