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Finding the Fourth Proportional to 491.47, 677.36 and 343.85

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Solution

The fourth proportional to 491.47, 677.36 and 343.85 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 677.36 = 343.85 : x
  2. Step 2: Convert to fraction form
    491.47/677.36 = 343.85/x
  3. Step 3: Cross multiply
    491.47x = 677.36 × 343.85
  4. Step 4: Simplify right side
    491.47x = 232,907.71
  5. Step 5: Solve for x
    x = 232,907.71/491.47
  6. Step 6: Final answer
    x = 473.90

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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.