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Finding the Fourth Proportional to 645.84, 892.08 and 470.88

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Solution

The fourth proportional to 645.84, 892.08 and 470.88 is: 650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 892.08 = 470.88 : x
  2. Step 2: Convert to fraction form
    645.84/892.08 = 470.88/x
  3. Step 3: Cross multiply
    645.84x = 892.08 × 470.88
  4. Step 4: Simplify right side
    645.84x = 420,062.63
  5. Step 5: Solve for x
    x = 420,062.63/645.84
  6. Step 6: Final answer
    x = 650.41

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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.