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Finding the Fourth Proportional to 404.46, 604.11 and 365.88

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Solution

The fourth proportional to 404.46, 604.11 and 365.88 is: 546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.46 : 604.11 = 365.88 : x
  2. Step 2: Convert to fraction form
    404.46/604.11 = 365.88/x
  3. Step 3: Cross multiply
    404.46x = 604.11 × 365.88
  4. Step 4: Simplify right side
    404.46x = 221,031.77
  5. Step 5: Solve for x
    x = 221,031.77/404.46
  6. Step 6: Final answer
    x = 546.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.