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Finding the Fourth Proportional to 645.20, 890.64 and 383.20

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Solution

The fourth proportional to 645.20, 890.64 and 383.20 is: 528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 890.64 = 383.20 : x
  2. Step 2: Convert to fraction form
    645.20/890.64 = 383.20/x
  3. Step 3: Cross multiply
    645.20x = 890.64 × 383.20
  4. Step 4: Simplify right side
    645.20x = 341,293.25
  5. Step 5: Solve for x
    x = 341,293.25/645.20
  6. Step 6: Final answer
    x = 528.97

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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.