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Finding the Fourth Proportional to 536.75, 805.12 and 248.39

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Solution

The fourth proportional to 536.75, 805.12 and 248.39 is: 372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.75 : 805.12 = 248.39 : x
  2. Step 2: Convert to fraction form
    536.75/805.12 = 248.39/x
  3. Step 3: Cross multiply
    536.75x = 805.12 × 248.39
  4. Step 4: Simplify right side
    536.75x = 199,979.11
  5. Step 5: Solve for x
    x = 199,979.11/536.75
  6. Step 6: Final answer
    x = 372.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.