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Finding the Fourth Proportional to 555.57, 831.74 and 338.49

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Solution

The fourth proportional to 555.57, 831.74 and 338.49 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.57 : 831.74 = 338.49 : x
  2. Step 2: Convert to fraction form
    555.57/831.74 = 338.49/x
  3. Step 3: Cross multiply
    555.57x = 831.74 × 338.49
  4. Step 4: Simplify right side
    555.57x = 281,533.98
  5. Step 5: Solve for x
    x = 281,533.98/555.57
  6. Step 6: Final answer
    x = 506.75

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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.