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Finding the Fourth Proportional to 360.35, 497.34 and 255.66

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Solution

The fourth proportional to 360.35, 497.34 and 255.66 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.35 : 497.34 = 255.66 : x
  2. Step 2: Convert to fraction form
    360.35/497.34 = 255.66/x
  3. Step 3: Cross multiply
    360.35x = 497.34 × 255.66
  4. Step 4: Simplify right side
    360.35x = 127,148.08
  5. Step 5: Solve for x
    x = 127,148.08/360.35
  6. Step 6: Final answer
    x = 352.85

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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.