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Finding the Fourth Proportional to 739.17, 1,108.47 and 306.21

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Solution

The fourth proportional to 739.17, 1,108.47 and 306.21 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.17 : 1,108.47 = 306.21 : x
  2. Step 2: Convert to fraction form
    739.17/1,108.47 = 306.21/x
  3. Step 3: Cross multiply
    739.17x = 1,108.47 × 306.21
  4. Step 4: Simplify right side
    739.17x = 339,424.60
  5. Step 5: Solve for x
    x = 339,424.60/739.17
  6. Step 6: Final answer
    x = 459.20

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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.