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Finding the Fourth Proportional to 554.76, 831.78 and 381.06

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Solution

The fourth proportional to 554.76, 831.78 and 381.06 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 831.78 = 381.06 : x
  2. Step 2: Convert to fraction form
    554.76/831.78 = 381.06/x
  3. Step 3: Cross multiply
    554.76x = 831.78 × 381.06
  4. Step 4: Simplify right side
    554.76x = 316,958.09
  5. Step 5: Solve for x
    x = 316,958.09/554.76
  6. Step 6: Final answer
    x = 571.34

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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.