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Finding the Fourth Proportional to 491.32, 677.94 and 304.84

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Solution

The fourth proportional to 491.32, 677.94 and 304.84 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 677.94 = 304.84 : x
  2. Step 2: Convert to fraction form
    491.32/677.94 = 304.84/x
  3. Step 3: Cross multiply
    491.32x = 677.94 × 304.84
  4. Step 4: Simplify right side
    491.32x = 206,663.23
  5. Step 5: Solve for x
    x = 206,663.23/491.32
  6. Step 6: Final answer
    x = 420.63

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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.