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Finding the Fourth Proportional to 536.81, 805.24 and 207.90

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Solution

The fourth proportional to 536.81, 805.24 and 207.90 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.81 : 805.24 = 207.90 : x
  2. Step 2: Convert to fraction form
    536.81/805.24 = 207.90/x
  3. Step 3: Cross multiply
    536.81x = 805.24 × 207.90
  4. Step 4: Simplify right side
    536.81x = 167,409.66
  5. Step 5: Solve for x
    x = 167,409.66/536.81
  6. Step 6: Final answer
    x = 311.86

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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.