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Finding the Fourth Proportional to 603.66, 831.94 and 404.14

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Solution

The fourth proportional to 603.66, 831.94 and 404.14 is: 556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.66 : 831.94 = 404.14 : x
  2. Step 2: Convert to fraction form
    603.66/831.94 = 404.14/x
  3. Step 3: Cross multiply
    603.66x = 831.94 × 404.14
  4. Step 4: Simplify right side
    603.66x = 336,220.23
  5. Step 5: Solve for x
    x = 336,220.23/603.66
  6. Step 6: Final answer
    x = 556.97

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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.