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Finding the Fourth Proportional to 546.99, 820.01 and 205.23

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Solution

The fourth proportional to 546.99, 820.01 and 205.23 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 820.01 = 205.23 : x
  2. Step 2: Convert to fraction form
    546.99/820.01 = 205.23/x
  3. Step 3: Cross multiply
    546.99x = 820.01 × 205.23
  4. Step 4: Simplify right side
    546.99x = 168,289.63
  5. Step 5: Solve for x
    x = 168,289.63/546.99
  6. Step 6: Final answer
    x = 307.66

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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.