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Finding the Fourth Proportional to 554.45, 831.87 and 397.71

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Solution

The fourth proportional to 554.45, 831.87 and 397.71 is: 596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.45 : 831.87 = 397.71 : x
  2. Step 2: Convert to fraction form
    554.45/831.87 = 397.71/x
  3. Step 3: Cross multiply
    554.45x = 831.87 × 397.71
  4. Step 4: Simplify right side
    554.45x = 330,843.02
  5. Step 5: Solve for x
    x = 330,843.02/554.45
  6. Step 6: Final answer
    x = 596.71

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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.