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Finding the Fourth Proportional to 468.64, 646.72 and 282.23

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Solution

The fourth proportional to 468.64, 646.72 and 282.23 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 646.72 = 282.23 : x
  2. Step 2: Convert to fraction form
    468.64/646.72 = 282.23/x
  3. Step 3: Cross multiply
    468.64x = 646.72 × 282.23
  4. Step 4: Simplify right side
    468.64x = 182,523.79
  5. Step 5: Solve for x
    x = 182,523.79/468.64
  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.