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Finding the Fourth Proportional to 468.91, 646.83 and 282.29

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Solution

The fourth proportional to 468.91, 646.83 and 282.29 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 646.83 = 282.29 : x
  2. Step 2: Convert to fraction form
    468.91/646.83 = 282.29/x
  3. Step 3: Cross multiply
    468.91x = 646.83 × 282.29
  4. Step 4: Simplify right side
    468.91x = 182,590.41
  5. Step 5: Solve for x
    x = 182,590.41/468.91
  6. Step 6: Final answer
    x = 389.40

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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.