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Finding the Fourth Proportional to 537.45, 741.80 and 304.71

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Solution

The fourth proportional to 537.45, 741.80 and 304.71 is: 420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.45 : 741.80 = 304.71 : x
  2. Step 2: Convert to fraction form
    537.45/741.80 = 304.71/x
  3. Step 3: Cross multiply
    537.45x = 741.80 × 304.71
  4. Step 4: Simplify right side
    537.45x = 226,033.88
  5. Step 5: Solve for x
    x = 226,033.88/537.45
  6. Step 6: Final answer
    x = 420.57

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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.