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Finding the Fourth Proportional to 538.91, 743.41 and 407.69

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Solution

The fourth proportional to 538.91, 743.41 and 407.69 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.91 : 743.41 = 407.69 : x
  2. Step 2: Convert to fraction form
    538.91/743.41 = 407.69/x
  3. Step 3: Cross multiply
    538.91x = 743.41 × 407.69
  4. Step 4: Simplify right side
    538.91x = 303,080.82
  5. Step 5: Solve for x
    x = 303,080.82/538.91
  6. Step 6: Final answer
    x = 562.40

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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.