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Finding the Fourth Proportional to 536, 739.70 and 303.14

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Solution

The fourth proportional to 536, 739.70 and 303.14 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 739.70 = 303.14 : x
  2. Step 2: Convert to fraction form
    536/739.70 = 303.14/x
  3. Step 3: Cross multiply
    536x = 739.70 × 303.14
  4. Step 4: Simplify right side
    536x = 224,232.66
  5. Step 5: Solve for x
    x = 224,232.66/536
  6. Step 6: Final answer
    x = 418.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.