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Finding the Fourth Proportional to 538.59, 807.36 and 342.98

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Solution

The fourth proportional to 538.59, 807.36 and 342.98 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.59 : 807.36 = 342.98 : x
  2. Step 2: Convert to fraction form
    538.59/807.36 = 342.98/x
  3. Step 3: Cross multiply
    538.59x = 807.36 × 342.98
  4. Step 4: Simplify right side
    538.59x = 276,908.33
  5. Step 5: Solve for x
    x = 276,908.33/538.59
  6. Step 6: Final answer
    x = 514.14

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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.