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Finding the Fourth Proportional to 500.84, 689.77 and 490.07

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Solution

The fourth proportional to 500.84, 689.77 and 490.07 is: 674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 689.77 = 490.07 : x
  2. Step 2: Convert to fraction form
    500.84/689.77 = 490.07/x
  3. Step 3: Cross multiply
    500.84x = 689.77 × 490.07
  4. Step 4: Simplify right side
    500.84x = 338,035.58
  5. Step 5: Solve for x
    x = 338,035.58/500.84
  6. Step 6: Final answer
    x = 674.94

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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.