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Finding the Fourth Proportional to 554.04, 831.05 and 189.09

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Solution

The fourth proportional to 554.04, 831.05 and 189.09 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.04 : 831.05 = 189.09 : x
  2. Step 2: Convert to fraction form
    554.04/831.05 = 189.09/x
  3. Step 3: Cross multiply
    554.04x = 831.05 × 189.09
  4. Step 4: Simplify right side
    554.04x = 157,142.30
  5. Step 5: Solve for x
    x = 157,142.30/554.04
  6. Step 6: Final answer
    x = 283.63

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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.