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Finding the Fourth Proportional to 364.10, 504.48 and 356.31

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Solution

The fourth proportional to 364.10, 504.48 and 356.31 is: 493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 504.48 = 356.31 : x
  2. Step 2: Convert to fraction form
    364.10/504.48 = 356.31/x
  3. Step 3: Cross multiply
    364.10x = 504.48 × 356.31
  4. Step 4: Simplify right side
    364.10x = 179,751.27
  5. Step 5: Solve for x
    x = 179,751.27/364.10
  6. Step 6: Final answer
    x = 493.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.