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Finding the Fourth Proportional to 538.24, 808.14 and 353.44

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Solution

The fourth proportional to 538.24, 808.14 and 353.44 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 808.14 = 353.44 : x
  2. Step 2: Convert to fraction form
    538.24/808.14 = 353.44/x
  3. Step 3: Cross multiply
    538.24x = 808.14 × 353.44
  4. Step 4: Simplify right side
    538.24x = 285,629.00
  5. Step 5: Solve for x
    x = 285,629.00/538.24
  6. Step 6: Final answer
    x = 530.67

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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.