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Finding the Fourth Proportional to 491.10, 677.87 and 343.77

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Solution

The fourth proportional to 491.10, 677.87 and 343.77 is: 474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.10 : 677.87 = 343.77 : x
  2. Step 2: Convert to fraction form
    491.10/677.87 = 343.77/x
  3. Step 3: Cross multiply
    491.10x = 677.87 × 343.77
  4. Step 4: Simplify right side
    491.10x = 233,029.65
  5. Step 5: Solve for x
    x = 233,029.65/491.10
  6. Step 6: Final answer
    x = 474.51

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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.