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Finding the Fourth Proportional to 534.08, 736.03 and 386.46

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Solution

The fourth proportional to 534.08, 736.03 and 386.46 is: 532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 736.03 = 386.46 : x
  2. Step 2: Convert to fraction form
    534.08/736.03 = 386.46/x
  3. Step 3: Cross multiply
    534.08x = 736.03 × 386.46
  4. Step 4: Simplify right side
    534.08x = 284,446.15
  5. Step 5: Solve for x
    x = 284,446.15/534.08
  6. Step 6: Final answer
    x = 532.59

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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.