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Finding the Fourth Proportional to 555.66, 831.96 and 381.96

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Solution

The fourth proportional to 555.66, 831.96 and 381.96 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 831.96 = 381.96 : x
  2. Step 2: Convert to fraction form
    555.66/831.96 = 381.96/x
  3. Step 3: Cross multiply
    555.66x = 831.96 × 381.96
  4. Step 4: Simplify right side
    555.66x = 317,775.44
  5. Step 5: Solve for x
    x = 317,775.44/555.66
  6. Step 6: Final answer
    x = 571.89

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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.