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Finding the Fourth Proportional to 537.34, 741.44 and 304.42

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Solution

The fourth proportional to 537.34, 741.44 and 304.42 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.34 : 741.44 = 304.42 : x
  2. Step 2: Convert to fraction form
    537.34/741.44 = 304.42/x
  3. Step 3: Cross multiply
    537.34x = 741.44 × 304.42
  4. Step 4: Simplify right side
    537.34x = 225,709.16
  5. Step 5: Solve for x
    x = 225,709.16/537.34
  6. Step 6: Final answer
    x = 420.05

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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.