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Finding the Fourth Proportional to 491.78, 678.64 and 282.05

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Solution

The fourth proportional to 491.78, 678.64 and 282.05 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.78 : 678.64 = 282.05 : x
  2. Step 2: Convert to fraction form
    491.78/678.64 = 282.05/x
  3. Step 3: Cross multiply
    491.78x = 678.64 × 282.05
  4. Step 4: Simplify right side
    491.78x = 191,405.61
  5. Step 5: Solve for x
    x = 191,405.61/491.78
  6. Step 6: Final answer
    x = 389.21

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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.