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Finding the Fourth Proportional to 404.60, 558.44 and 264.47

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Solution

The fourth proportional to 404.60, 558.44 and 264.47 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 558.44 = 264.47 : x
  2. Step 2: Convert to fraction form
    404.60/558.44 = 264.47/x
  3. Step 3: Cross multiply
    404.60x = 558.44 × 264.47
  4. Step 4: Simplify right side
    404.60x = 147,690.63
  5. Step 5: Solve for x
    x = 147,690.63/404.60
  6. Step 6: Final answer
    x = 365.03

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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.