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Finding the Fourth Proportional to 404.98, 559 and 264.84

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Solution

The fourth proportional to 404.98, 559 and 264.84 is: 365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.98 : 559 = 264.84 : x
  2. Step 2: Convert to fraction form
    404.98/559 = 264.84/x
  3. Step 3: Cross multiply
    404.98x = 559 × 264.84
  4. Step 4: Simplify right side
    404.98x = 148,045.56
  5. Step 5: Solve for x
    x = 148,045.56/404.98
  6. Step 6: Final answer
    x = 365.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.