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Finding the Fourth Proportional to 538.03, 807.05 and 229.72

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Solution

The fourth proportional to 538.03, 807.05 and 229.72 is: 344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.03 : 807.05 = 229.72 : x
  2. Step 2: Convert to fraction form
    538.03/807.05 = 229.72/x
  3. Step 3: Cross multiply
    538.03x = 807.05 × 229.72
  4. Step 4: Simplify right side
    538.03x = 185,395.53
  5. Step 5: Solve for x
    x = 185,395.53/538.03
  6. Step 6: Final answer
    x = 344.58

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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.