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Finding the Fourth Proportional to 650.84, 897.89 and 475.88

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Solution

The fourth proportional to 650.84, 897.89 and 475.88 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 897.89 = 475.88 : x
  2. Step 2: Convert to fraction form
    650.84/897.89 = 475.88/x
  3. Step 3: Cross multiply
    650.84x = 897.89 × 475.88
  4. Step 4: Simplify right side
    650.84x = 427,281.02
  5. Step 5: Solve for x
    x = 427,281.02/650.84
  6. Step 6: Final answer
    x = 656.51

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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.