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Finding the Fourth Proportional to 820, 1,230.16 and 364

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Solution

The fourth proportional to 820, 1,230.16 and 364 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 1,230.16 = 364 : x
  2. Step 2: Convert to fraction form
    820/1,230.16 = 364/x
  3. Step 3: Cross multiply
    820x = 1,230.16 × 364
  4. Step 4: Simplify right side
    820x = 447,778.24
  5. Step 5: Solve for x
    x = 447,778.24/820
  6. Step 6: Final answer
    x = 546.07

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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.