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Finding the Fourth Proportional to 468.78, 646.79 and 282.35

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Solution

The fourth proportional to 468.78, 646.79 and 282.35 is: 389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.79 = 282.35 : x
  2. Step 2: Convert to fraction form
    468.78/646.79 = 282.35/x
  3. Step 3: Cross multiply
    468.78x = 646.79 × 282.35
  4. Step 4: Simplify right side
    468.78x = 182,616.51
  5. Step 5: Solve for x
    x = 182,616.51/468.78
  6. Step 6: Final answer
    x = 389.56

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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.