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Finding the Fourth Proportional to 493.55, 739.10 and 397.16

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Solution

The fourth proportional to 493.55, 739.10 and 397.16 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.55 : 739.10 = 397.16 : x
  2. Step 2: Convert to fraction form
    493.55/739.10 = 397.16/x
  3. Step 3: Cross multiply
    493.55x = 739.10 × 397.16
  4. Step 4: Simplify right side
    493.55x = 293,538.25
  5. Step 5: Solve for x
    x = 293,538.25/493.55
  6. Step 6: Final answer
    x = 594.75

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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.