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Finding the Fourth Proportional to 491.67, 678.27 and 314.54

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Solution

The fourth proportional to 491.67, 678.27 and 314.54 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 678.27 = 314.54 : x
  2. Step 2: Convert to fraction form
    491.67/678.27 = 314.54/x
  3. Step 3: Cross multiply
    491.67x = 678.27 × 314.54
  4. Step 4: Simplify right side
    491.67x = 213,343.38
  5. Step 5: Solve for x
    x = 213,343.38/491.67
  6. Step 6: Final answer
    x = 433.92

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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.