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Finding the Fourth Proportional to 820.01, 1,230.01 and 242.84

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Solution

The fourth proportional to 820.01, 1,230.01 and 242.84 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.01 : 1,230.01 = 242.84 : x
  2. Step 2: Convert to fraction form
    820.01/1,230.01 = 242.84/x
  3. Step 3: Cross multiply
    820.01x = 1,230.01 × 242.84
  4. Step 4: Simplify right side
    820.01x = 298,688.87
  5. Step 5: Solve for x
    x = 298,688.87/820.01
  6. Step 6: Final answer
    x = 364.25

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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.