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Finding the Fourth Proportional to 553.96, 830.76 and 348.76

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Solution

The fourth proportional to 553.96, 830.76 and 348.76 is: 523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 830.76 = 348.76 : x
  2. Step 2: Convert to fraction form
    553.96/830.76 = 348.76/x
  3. Step 3: Cross multiply
    553.96x = 830.76 × 348.76
  4. Step 4: Simplify right side
    553.96x = 289,735.86
  5. Step 5: Solve for x
    x = 289,735.86/553.96
  6. Step 6: Final answer
    x = 523.03

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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.