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Finding the Fourth Proportional to 537.60, 741.87 and 304.71

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Solution

The fourth proportional to 537.60, 741.87 and 304.71 is: 420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 741.87 = 304.71 : x
  2. Step 2: Convert to fraction form
    537.60/741.87 = 304.71/x
  3. Step 3: Cross multiply
    537.60x = 741.87 × 304.71
  4. Step 4: Simplify right side
    537.60x = 226,055.21
  5. Step 5: Solve for x
    x = 226,055.21/537.60
  6. Step 6: Final answer
    x = 420.49

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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.