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Finding the Fourth Proportional to 360.09, 492.77 and 352.53

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Solution

The fourth proportional to 360.09, 492.77 and 352.53 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 492.77 = 352.53 : x
  2. Step 2: Convert to fraction form
    360.09/492.77 = 352.53/x
  3. Step 3: Cross multiply
    360.09x = 492.77 × 352.53
  4. Step 4: Simplify right side
    360.09x = 173,717.09
  5. Step 5: Solve for x
    x = 173,717.09/360.09
  6. Step 6: Final answer
    x = 482.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.