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Finding the Fourth Proportional to 538.86, 743.40 and 342.32

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Solution

The fourth proportional to 538.86, 743.40 and 342.32 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 743.40 = 342.32 : x
  2. Step 2: Convert to fraction form
    538.86/743.40 = 342.32/x
  3. Step 3: Cross multiply
    538.86x = 743.40 × 342.32
  4. Step 4: Simplify right side
    538.86x = 254,480.69
  5. Step 5: Solve for x
    x = 254,480.69/538.86
  6. Step 6: Final answer
    x = 472.26

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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.