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Finding the Fourth Proportional to 491.82, 678.65 and 282.03

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Solution

The fourth proportional to 491.82, 678.65 and 282.03 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.82 : 678.65 = 282.03 : x
  2. Step 2: Convert to fraction form
    491.82/678.65 = 282.03/x
  3. Step 3: Cross multiply
    491.82x = 678.65 × 282.03
  4. Step 4: Simplify right side
    491.82x = 191,398.25
  5. Step 5: Solve for x
    x = 191,398.25/491.82
  6. Step 6: Final answer
    x = 389.16

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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.