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Finding the Fourth Proportional to 553.84, 831.20 and 245.90

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Solution

The fourth proportional to 553.84, 831.20 and 245.90 is: 369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.84 : 831.20 = 245.90 : x
  2. Step 2: Convert to fraction form
    553.84/831.20 = 245.90/x
  3. Step 3: Cross multiply
    553.84x = 831.20 × 245.90
  4. Step 4: Simplify right side
    553.84x = 204,392.93
  5. Step 5: Solve for x
    x = 204,392.93/553.84
  6. Step 6: Final answer
    x = 369.05

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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.