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Finding the Fourth Proportional to 493.02, 678.96 and 461.70

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Solution

The fourth proportional to 493.02, 678.96 and 461.70 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 678.96 = 461.70 : x
  2. Step 2: Convert to fraction form
    493.02/678.96 = 461.70/x
  3. Step 3: Cross multiply
    493.02x = 678.96 × 461.70
  4. Step 4: Simplify right side
    493.02x = 313,475.83
  5. Step 5: Solve for x
    x = 313,475.83/493.02
  6. Step 6: Final answer
    x = 635.83

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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.