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Finding the Fourth Proportional to 320.60, 442.73 and 255.58

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Solution

The fourth proportional to 320.60, 442.73 and 255.58 is: 352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.60 : 442.73 = 255.58 : x
  2. Step 2: Convert to fraction form
    320.60/442.73 = 255.58/x
  3. Step 3: Cross multiply
    320.60x = 442.73 × 255.58
  4. Step 4: Simplify right side
    320.60x = 113,152.93
  5. Step 5: Solve for x
    x = 113,152.93/320.60
  6. Step 6: Final answer
    x = 352.94

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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.