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Finding the Fourth Proportional to 468.99, 646.97 and 282.38

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Solution

The fourth proportional to 468.99, 646.97 and 282.38 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.99 : 646.97 = 282.38 : x
  2. Step 2: Convert to fraction form
    468.99/646.97 = 282.38/x
  3. Step 3: Cross multiply
    468.99x = 646.97 × 282.38
  4. Step 4: Simplify right side
    468.99x = 182,686.74
  5. Step 5: Solve for x
    x = 182,686.74/468.99
  6. Step 6: Final answer
    x = 389.53

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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.