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Finding the Fourth Proportional to 554.32, 831.18 and 202.78

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Solution

The fourth proportional to 554.32, 831.18 and 202.78 is: 304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.32 : 831.18 = 202.78 : x
  2. Step 2: Convert to fraction form
    554.32/831.18 = 202.78/x
  3. Step 3: Cross multiply
    554.32x = 831.18 × 202.78
  4. Step 4: Simplify right side
    554.32x = 168,546.68
  5. Step 5: Solve for x
    x = 168,546.68/554.32
  6. Step 6: Final answer
    x = 304.06

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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.