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Finding the Fourth Proportional to 645.66, 890.07 and 490.14

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Solution

The fourth proportional to 645.66, 890.07 and 490.14 is: 675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 890.07 = 490.14 : x
  2. Step 2: Convert to fraction form
    645.66/890.07 = 490.14/x
  3. Step 3: Cross multiply
    645.66x = 890.07 × 490.14
  4. Step 4: Simplify right side
    645.66x = 436,258.91
  5. Step 5: Solve for x
    x = 436,258.91/645.66
  6. Step 6: Final answer
    x = 675.68

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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.