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Finding the Fourth Proportional to 553.91, 831.06 and 348.24

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Solution

The fourth proportional to 553.91, 831.06 and 348.24 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.91 : 831.06 = 348.24 : x
  2. Step 2: Convert to fraction form
    553.91/831.06 = 348.24/x
  3. Step 3: Cross multiply
    553.91x = 831.06 × 348.24
  4. Step 4: Simplify right side
    553.91x = 289,408.33
  5. Step 5: Solve for x
    x = 289,408.33/553.91
  6. Step 6: Final answer
    x = 522.48

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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.