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Finding the Fourth Proportional to 538.88, 743.74 and 407.66

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Solution

The fourth proportional to 538.88, 743.74 and 407.66 is: 562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 743.74 = 407.66 : x
  2. Step 2: Convert to fraction form
    538.88/743.74 = 407.66/x
  3. Step 3: Cross multiply
    538.88x = 743.74 × 407.66
  4. Step 4: Simplify right side
    538.88x = 303,188.31
  5. Step 5: Solve for x
    x = 303,188.31/538.88
  6. Step 6: Final answer
    x = 562.63

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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.