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Finding the Fourth Proportional to 365.69, 550.51 and 315.47

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Solution

The fourth proportional to 365.69, 550.51 and 315.47 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.69 : 550.51 = 315.47 : x
  2. Step 2: Convert to fraction form
    365.69/550.51 = 315.47/x
  3. Step 3: Cross multiply
    365.69x = 550.51 × 315.47
  4. Step 4: Simplify right side
    365.69x = 173,669.98
  5. Step 5: Solve for x
    x = 173,669.98/365.69
  6. Step 6: Final answer
    x = 474.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.