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Finding the Fourth Proportional to 491.47, 678.17 and 314.48

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Solution

The fourth proportional to 491.47, 678.17 and 314.48 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 678.17 = 314.48 : x
  2. Step 2: Convert to fraction form
    491.47/678.17 = 314.48/x
  3. Step 3: Cross multiply
    491.47x = 678.17 × 314.48
  4. Step 4: Simplify right side
    491.47x = 213,269.33
  5. Step 5: Solve for x
    x = 213,269.33/491.47
  6. Step 6: Final answer
    x = 433.94

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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.