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Finding the Fourth Proportional to 645.52, 890.84 and 350.81

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Solution

The fourth proportional to 645.52, 890.84 and 350.81 is: 484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 890.84 = 350.81 : x
  2. Step 2: Convert to fraction form
    645.52/890.84 = 350.81/x
  3. Step 3: Cross multiply
    645.52x = 890.84 × 350.81
  4. Step 4: Simplify right side
    645.52x = 312,515.58
  5. Step 5: Solve for x
    x = 312,515.58/645.52
  6. Step 6: Final answer
    x = 484.13

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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.