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Finding the Fourth Proportional to 534.48, 737.42 and 359.93

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Solution

The fourth proportional to 534.48, 737.42 and 359.93 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 737.42 = 359.93 : x
  2. Step 2: Convert to fraction form
    534.48/737.42 = 359.93/x
  3. Step 3: Cross multiply
    534.48x = 737.42 × 359.93
  4. Step 4: Simplify right side
    534.48x = 265,414.09
  5. Step 5: Solve for x
    x = 265,414.09/534.48
  6. Step 6: Final answer
    x = 496.58

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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.