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Finding the Fourth Proportional to 645.45, 890.13 and 480.07

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Solution

The fourth proportional to 645.45, 890.13 and 480.07 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 890.13 = 480.07 : x
  2. Step 2: Convert to fraction form
    645.45/890.13 = 480.07/x
  3. Step 3: Cross multiply
    645.45x = 890.13 × 480.07
  4. Step 4: Simplify right side
    645.45x = 427,324.71
  5. Step 5: Solve for x
    x = 427,324.71/645.45
  6. Step 6: Final answer
    x = 662.06

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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.