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Finding the Fourth Proportional to 490.84, 735.91 and 414.30

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Solution

The fourth proportional to 490.84, 735.91 and 414.30 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 735.91 = 414.30 : x
  2. Step 2: Convert to fraction form
    490.84/735.91 = 414.30/x
  3. Step 3: Cross multiply
    490.84x = 735.91 × 414.30
  4. Step 4: Simplify right side
    490.84x = 304,887.51
  5. Step 5: Solve for x
    x = 304,887.51/490.84
  6. Step 6: Final answer
    x = 621.15

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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.