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Finding the Fourth Proportional to 491.86, 678.82 and 295.36

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Solution

The fourth proportional to 491.86, 678.82 and 295.36 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 678.82 = 295.36 : x
  2. Step 2: Convert to fraction form
    491.86/678.82 = 295.36/x
  3. Step 3: Cross multiply
    491.86x = 678.82 × 295.36
  4. Step 4: Simplify right side
    491.86x = 200,496.28
  5. Step 5: Solve for x
    x = 200,496.28/491.86
  6. Step 6: Final answer
    x = 407.63

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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.