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Finding the Fourth Proportional to 468.44, 646.58 and 282.06

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Solution

The fourth proportional to 468.44, 646.58 and 282.06 is: 389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 646.58 = 282.06 : x
  2. Step 2: Convert to fraction form
    468.44/646.58 = 282.06/x
  3. Step 3: Cross multiply
    468.44x = 646.58 × 282.06
  4. Step 4: Simplify right side
    468.44x = 182,374.35
  5. Step 5: Solve for x
    x = 182,374.35/468.44
  6. Step 6: Final answer
    x = 389.32

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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.