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Finding the Fourth Proportional to 554.28, 831.51 and 189.06

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Solution

The fourth proportional to 554.28, 831.51 and 189.06 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.28 : 831.51 = 189.06 : x
  2. Step 2: Convert to fraction form
    554.28/831.51 = 189.06/x
  3. Step 3: Cross multiply
    554.28x = 831.51 × 189.06
  4. Step 4: Simplify right side
    554.28x = 157,205.28
  5. Step 5: Solve for x
    x = 157,205.28/554.28
  6. Step 6: Final answer
    x = 283.62

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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.