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Finding the Fourth Proportional to 536.90, 805.37 and 212.49

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Solution

The fourth proportional to 536.90, 805.37 and 212.49 is: 318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.90 : 805.37 = 212.49 : x
  2. Step 2: Convert to fraction form
    536.90/805.37 = 212.49/x
  3. Step 3: Cross multiply
    536.90x = 805.37 × 212.49
  4. Step 4: Simplify right side
    536.90x = 171,132.01
  5. Step 5: Solve for x
    x = 171,132.01/536.90
  6. Step 6: Final answer
    x = 318.74

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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.