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Finding the Fourth Proportional to 538.47, 743.10 and 305.59

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Solution

The fourth proportional to 538.47, 743.10 and 305.59 is: 421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 743.10 = 305.59 : x
  2. Step 2: Convert to fraction form
    538.47/743.10 = 305.59/x
  3. Step 3: Cross multiply
    538.47x = 743.10 × 305.59
  4. Step 4: Simplify right side
    538.47x = 227,083.93
  5. Step 5: Solve for x
    x = 227,083.93/538.47
  6. Step 6: Final answer
    x = 421.72

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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.