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Finding the Fourth Proportional to 468.50, 646.50 and 282.06

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Solution

The fourth proportional to 468.50, 646.50 and 282.06 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 646.50 = 282.06 : x
  2. Step 2: Convert to fraction form
    468.50/646.50 = 282.06/x
  3. Step 3: Cross multiply
    468.50x = 646.50 × 282.06
  4. Step 4: Simplify right side
    468.50x = 182,351.79
  5. Step 5: Solve for x
    x = 182,351.79/468.50
  6. Step 6: Final answer
    x = 389.23

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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.