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Finding the Fourth Proportional to 554.40, 831.69 and 189.21

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Solution

The fourth proportional to 554.40, 831.69 and 189.21 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.40 : 831.69 = 189.21 : x
  2. Step 2: Convert to fraction form
    554.40/831.69 = 189.21/x
  3. Step 3: Cross multiply
    554.40x = 831.69 × 189.21
  4. Step 4: Simplify right side
    554.40x = 157,364.06
  5. Step 5: Solve for x
    x = 157,364.06/554.40
  6. Step 6: Final answer
    x = 283.85

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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.