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Finding the Fourth Proportional to 485, 667.44 and 469.16

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Solution

The fourth proportional to 485, 667.44 and 469.16 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485 : 667.44 = 469.16 : x
  2. Step 2: Convert to fraction form
    485/667.44 = 469.16/x
  3. Step 3: Cross multiply
    485x = 667.44 × 469.16
  4. Step 4: Simplify right side
    485x = 313,136.15
  5. Step 5: Solve for x
    x = 313,136.15/485
  6. Step 6: Final answer
    x = 645.64

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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.