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Finding the Fourth Proportional to 364.41, 501.75 and 356.31

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Solution

The fourth proportional to 364.41, 501.75 and 356.31 is: 490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 501.75 = 356.31 : x
  2. Step 2: Convert to fraction form
    364.41/501.75 = 356.31/x
  3. Step 3: Cross multiply
    364.41x = 501.75 × 356.31
  4. Step 4: Simplify right side
    364.41x = 178,778.54
  5. Step 5: Solve for x
    x = 178,778.54/364.41
  6. Step 6: Final answer
    x = 490.60

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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.