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Finding the Fourth Proportional to 537.42, 741.64 and 304.52

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Solution

The fourth proportional to 537.42, 741.64 and 304.52 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 741.64 = 304.52 : x
  2. Step 2: Convert to fraction form
    537.42/741.64 = 304.52/x
  3. Step 3: Cross multiply
    537.42x = 741.64 × 304.52
  4. Step 4: Simplify right side
    537.42x = 225,844.21
  5. Step 5: Solve for x
    x = 225,844.21/537.42
  6. Step 6: Final answer
    x = 420.24

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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.