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Finding the Fourth Proportional to 468.70, 646.78 and 282.25

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Solution

The fourth proportional to 468.70, 646.78 and 282.25 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.78 = 282.25 : x
  2. Step 2: Convert to fraction form
    468.70/646.78 = 282.25/x
  3. Step 3: Cross multiply
    468.70x = 646.78 × 282.25
  4. Step 4: Simplify right side
    468.70x = 182,554.29
  5. Step 5: Solve for x
    x = 182,554.29/468.70
  6. Step 6: Final answer
    x = 389.49

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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.