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Finding the Fourth Proportional to 603.30, 831.56 and 404.06

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Solution

The fourth proportional to 603.30, 831.56 and 404.06 is: 556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.30 : 831.56 = 404.06 : x
  2. Step 2: Convert to fraction form
    603.30/831.56 = 404.06/x
  3. Step 3: Cross multiply
    603.30x = 831.56 × 404.06
  4. Step 4: Simplify right side
    603.30x = 336,003.22
  5. Step 5: Solve for x
    x = 336,003.22/603.30
  6. Step 6: Final answer
    x = 556.94

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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.