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Finding the Fourth Proportional to 553.78, 830.17 and 224.93

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Solution

The fourth proportional to 553.78, 830.17 and 224.93 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 830.17 = 224.93 : x
  2. Step 2: Convert to fraction form
    553.78/830.17 = 224.93/x
  3. Step 3: Cross multiply
    553.78x = 830.17 × 224.93
  4. Step 4: Simplify right side
    553.78x = 186,730.14
  5. Step 5: Solve for x
    x = 186,730.14/553.78
  6. Step 6: Final answer
    x = 337.19

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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.