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Finding the Fourth Proportional to 469.20, 645.32 and 446.16

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Solution

The fourth proportional to 469.20, 645.32 and 446.16 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 645.32 = 446.16 : x
  2. Step 2: Convert to fraction form
    469.20/645.32 = 446.16/x
  3. Step 3: Cross multiply
    469.20x = 645.32 × 446.16
  4. Step 4: Simplify right side
    469.20x = 287,915.97
  5. Step 5: Solve for x
    x = 287,915.97/469.20
  6. Step 6: Final answer
    x = 613.63

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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.