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Finding the Fourth Proportional to 555.75, 831.56 and 349.36

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Solution

The fourth proportional to 555.75, 831.56 and 349.36 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.75 : 831.56 = 349.36 : x
  2. Step 2: Convert to fraction form
    555.75/831.56 = 349.36/x
  3. Step 3: Cross multiply
    555.75x = 831.56 × 349.36
  4. Step 4: Simplify right side
    555.75x = 290,509.98
  5. Step 5: Solve for x
    x = 290,509.98/555.75
  6. Step 6: Final answer
    x = 522.73

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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.