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Finding the Fourth Proportional to 495.87, 741 and 404.66

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Solution

The fourth proportional to 495.87, 741 and 404.66 is: 604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.87 : 741 = 404.66 : x
  2. Step 2: Convert to fraction form
    495.87/741 = 404.66/x
  3. Step 3: Cross multiply
    495.87x = 741 × 404.66
  4. Step 4: Simplify right side
    495.87x = 299,849.36
  5. Step 5: Solve for x
    x = 299,849.36/495.87
  6. Step 6: Final answer
    x = 604.69

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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.