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Finding the Fourth Proportional to 538, 742.47 and 305.13

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Solution

The fourth proportional to 538, 742.47 and 305.13 is: 421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 742.47 = 305.13 : x
  2. Step 2: Convert to fraction form
    538/742.47 = 305.13/x
  3. Step 3: Cross multiply
    538x = 742.47 × 305.13
  4. Step 4: Simplify right side
    538x = 226,549.87
  5. Step 5: Solve for x
    x = 226,549.87/538
  6. Step 6: Final answer
    x = 421.10

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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.