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Finding the Fourth Proportional to 468.77, 646.83 and 282.24

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Solution

The fourth proportional to 468.77, 646.83 and 282.24 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.77 : 646.83 = 282.24 : x
  2. Step 2: Convert to fraction form
    468.77/646.83 = 282.24/x
  3. Step 3: Cross multiply
    468.77x = 646.83 × 282.24
  4. Step 4: Simplify right side
    468.77x = 182,564.78
  5. Step 5: Solve for x
    x = 182,564.78/468.77
  6. Step 6: Final answer
    x = 389.46

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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.