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Finding the Fourth Proportional to 600.02, 895.36 and 538.73

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Solution

The fourth proportional to 600.02, 895.36 and 538.73 is: 803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 895.36 = 538.73 : x
  2. Step 2: Convert to fraction form
    600.02/895.36 = 538.73/x
  3. Step 3: Cross multiply
    600.02x = 895.36 × 538.73
  4. Step 4: Simplify right side
    600.02x = 482,357.29
  5. Step 5: Solve for x
    x = 482,357.29/600.02
  6. Step 6: Final answer
    x = 803.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.