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Finding the Fourth Proportional to 491.54, 678.05 and 412.94

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Solution

The fourth proportional to 491.54, 678.05 and 412.94 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.54 : 678.05 = 412.94 : x
  2. Step 2: Convert to fraction form
    491.54/678.05 = 412.94/x
  3. Step 3: Cross multiply
    491.54x = 678.05 × 412.94
  4. Step 4: Simplify right side
    491.54x = 279,993.97
  5. Step 5: Solve for x
    x = 279,993.97/491.54
  6. Step 6: Final answer
    x = 569.63

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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.