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Finding the Fourth Proportional to 339.68, 468.60 and 256.84

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Solution

The fourth proportional to 339.68, 468.60 and 256.84 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 468.60 = 256.84 : x
  2. Step 2: Convert to fraction form
    339.68/468.60 = 256.84/x
  3. Step 3: Cross multiply
    339.68x = 468.60 × 256.84
  4. Step 4: Simplify right side
    339.68x = 120,355.22
  5. Step 5: Solve for x
    x = 120,355.22/339.68
  6. Step 6: Final answer
    x = 354.32

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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.