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Finding the Fourth Proportional to 820.02, 1,230.09 and 357.82

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Solution

The fourth proportional to 820.02, 1,230.09 and 357.82 is: 536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,230.09 = 357.82 : x
  2. Step 2: Convert to fraction form
    820.02/1,230.09 = 357.82/x
  3. Step 3: Cross multiply
    820.02x = 1,230.09 × 357.82
  4. Step 4: Simplify right side
    820.02x = 440,146.39
  5. Step 5: Solve for x
    x = 440,146.39/820.02
  6. Step 6: Final answer
    x = 536.75

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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.