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Finding the Fourth Proportional to 601.77, 831.09 and 490.03

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Solution

The fourth proportional to 601.77, 831.09 and 490.03 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 831.09 = 490.03 : x
  2. Step 2: Convert to fraction form
    601.77/831.09 = 490.03/x
  3. Step 3: Cross multiply
    601.77x = 831.09 × 490.03
  4. Step 4: Simplify right side
    601.77x = 407,259.03
  5. Step 5: Solve for x
    x = 407,259.03/601.77
  6. Step 6: Final answer
    x = 676.77

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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.