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Finding the Fourth Proportional to 493.30, 691.10 and 493.30

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Solution

The fourth proportional to 493.30, 691.10 and 493.30 is: 691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 691.10 = 493.30 : x
  2. Step 2: Convert to fraction form
    493.30/691.10 = 493.30/x
  3. Step 3: Cross multiply
    493.30x = 691.10 × 493.30
  4. Step 4: Simplify right side
    493.30x = 340,919.63
  5. Step 5: Solve for x
    x = 340,919.63/493.30
  6. Step 6: Final answer
    x = 691.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.