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Finding the Fourth Proportional to 820.47, 1,230.67 and 333.53

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Solution

The fourth proportional to 820.47, 1,230.67 and 333.53 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.47 : 1,230.67 = 333.53 : x
  2. Step 2: Convert to fraction form
    820.47/1,230.67 = 333.53/x
  3. Step 3: Cross multiply
    820.47x = 1,230.67 × 333.53
  4. Step 4: Simplify right side
    820.47x = 410,465.37
  5. Step 5: Solve for x
    x = 410,465.37/820.47
  6. Step 6: Final answer
    x = 500.28

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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.