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Finding the Fourth Proportional to 468.54, 646.66 and 282.06

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Solution

The fourth proportional to 468.54, 646.66 and 282.06 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 646.66 = 282.06 : x
  2. Step 2: Convert to fraction form
    468.54/646.66 = 282.06/x
  3. Step 3: Cross multiply
    468.54x = 646.66 × 282.06
  4. Step 4: Simplify right side
    468.54x = 182,396.92
  5. Step 5: Solve for x
    x = 182,396.92/468.54
  6. Step 6: Final answer
    x = 389.29

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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.