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Finding the Fourth Proportional to 537.47, 741.71 and 304.59

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Solution

The fourth proportional to 537.47, 741.71 and 304.59 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 741.71 = 304.59 : x
  2. Step 2: Convert to fraction form
    537.47/741.71 = 304.59/x
  3. Step 3: Cross multiply
    537.47x = 741.71 × 304.59
  4. Step 4: Simplify right side
    537.47x = 225,920.99
  5. Step 5: Solve for x
    x = 225,920.99/537.47
  6. Step 6: Final answer
    x = 420.34

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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.