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Finding the Fourth Proportional to 536.42, 804.42 and 247.76

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Solution

The fourth proportional to 536.42, 804.42 and 247.76 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 804.42 = 247.76 : x
  2. Step 2: Convert to fraction form
    536.42/804.42 = 247.76/x
  3. Step 3: Cross multiply
    536.42x = 804.42 × 247.76
  4. Step 4: Simplify right side
    536.42x = 199,303.10
  5. Step 5: Solve for x
    x = 199,303.10/536.42
  6. Step 6: Final answer
    x = 371.54

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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.