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Finding the Fourth Proportional to 534.29, 736.76 and 359.33

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Solution

The fourth proportional to 534.29, 736.76 and 359.33 is: 495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.29 : 736.76 = 359.33 : x
  2. Step 2: Convert to fraction form
    534.29/736.76 = 359.33/x
  3. Step 3: Cross multiply
    534.29x = 736.76 × 359.33
  4. Step 4: Simplify right side
    534.29x = 264,737.19
  5. Step 5: Solve for x
    x = 264,737.19/534.29
  6. Step 6: Final answer
    x = 495.50

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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.