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Finding the Fourth Proportional to 538.30, 807.57 and 342.61

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Solution

The fourth proportional to 538.30, 807.57 and 342.61 is: 513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 807.57 = 342.61 : x
  2. Step 2: Convert to fraction form
    538.30/807.57 = 342.61/x
  3. Step 3: Cross multiply
    538.30x = 807.57 × 342.61
  4. Step 4: Simplify right side
    538.30x = 276,681.56
  5. Step 5: Solve for x
    x = 276,681.56/538.30
  6. Step 6: Final answer
    x = 513.99

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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.