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Finding the Fourth Proportional to 468.76, 646.78 and 282.28

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Solution

The fourth proportional to 468.76, 646.78 and 282.28 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 646.78 = 282.28 : x
  2. Step 2: Convert to fraction form
    468.76/646.78 = 282.28/x
  3. Step 3: Cross multiply
    468.76x = 646.78 × 282.28
  4. Step 4: Simplify right side
    468.76x = 182,573.06
  5. Step 5: Solve for x
    x = 182,573.06/468.76
  6. Step 6: Final answer
    x = 389.48

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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.