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Finding the Fourth Proportional to 538.05, 742.50 and 305.16

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Solution

The fourth proportional to 538.05, 742.50 and 305.16 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 742.50 = 305.16 : x
  2. Step 2: Convert to fraction form
    538.05/742.50 = 305.16/x
  3. Step 3: Cross multiply
    538.05x = 742.50 × 305.16
  4. Step 4: Simplify right side
    538.05x = 226,581.30
  5. Step 5: Solve for x
    x = 226,581.30/538.05
  6. Step 6: Final answer
    x = 421.12

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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.