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Finding the Fourth Proportional to 491.83, 678.14 and 295.27

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Solution

The fourth proportional to 491.83, 678.14 and 295.27 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.83 : 678.14 = 295.27 : x
  2. Step 2: Convert to fraction form
    491.83/678.14 = 295.27/x
  3. Step 3: Cross multiply
    491.83x = 678.14 × 295.27
  4. Step 4: Simplify right side
    491.83x = 200,231.75
  5. Step 5: Solve for x
    x = 200,231.75/491.83
  6. Step 6: Final answer
    x = 407.12

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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.