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Finding the Fourth Proportional to 620.84, 929.46 and 427.88

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Solution

The fourth proportional to 620.84, 929.46 and 427.88 is: 640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.84 : 929.46 = 427.88 : x
  2. Step 2: Convert to fraction form
    620.84/929.46 = 427.88/x
  3. Step 3: Cross multiply
    620.84x = 929.46 × 427.88
  4. Step 4: Simplify right side
    620.84x = 397,697.34
  5. Step 5: Solve for x
    x = 397,697.34/620.84
  6. Step 6: Final answer
    x = 640.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.