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Finding the Fourth Proportional to 553.79, 830.66 and 245.63

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Solution

The fourth proportional to 553.79, 830.66 and 245.63 is: 368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.79 : 830.66 = 245.63 : x
  2. Step 2: Convert to fraction form
    553.79/830.66 = 245.63/x
  3. Step 3: Cross multiply
    553.79x = 830.66 × 245.63
  4. Step 4: Simplify right side
    553.79x = 204,029.63
  5. Step 5: Solve for x
    x = 204,029.63/553.79
  6. Step 6: Final answer
    x = 368.43

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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.