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Finding the Fourth Proportional to 537.12, 741.24 and 304.24

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Solution

The fourth proportional to 537.12, 741.24 and 304.24 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 741.24 = 304.24 : x
  2. Step 2: Convert to fraction form
    537.12/741.24 = 304.24/x
  3. Step 3: Cross multiply
    537.12x = 741.24 × 304.24
  4. Step 4: Simplify right side
    537.12x = 225,514.86
  5. Step 5: Solve for x
    x = 225,514.86/537.12
  6. Step 6: Final answer
    x = 419.86

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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.