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Finding the Fourth Proportional to 468.64, 646.44 and 293.84

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Solution

The fourth proportional to 468.64, 646.44 and 293.84 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 646.44 = 293.84 : x
  2. Step 2: Convert to fraction form
    468.64/646.44 = 293.84/x
  3. Step 3: Cross multiply
    468.64x = 646.44 × 293.84
  4. Step 4: Simplify right side
    468.64x = 189,949.93
  5. Step 5: Solve for x
    x = 189,949.93/468.64
  6. Step 6: Final answer
    x = 405.32

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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.