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Finding the Fourth Proportional to 465.53, 642.74 and 360.44

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Solution

The fourth proportional to 465.53, 642.74 and 360.44 is: 497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.53 : 642.74 = 360.44 : x
  2. Step 2: Convert to fraction form
    465.53/642.74 = 360.44/x
  3. Step 3: Cross multiply
    465.53x = 642.74 × 360.44
  4. Step 4: Simplify right side
    465.53x = 231,664.19
  5. Step 5: Solve for x
    x = 231,664.19/465.53
  6. Step 6: Final answer
    x = 497.64

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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.