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Finding the Fourth Proportional to 368.56, 504.94 and 354.73

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Solution

The fourth proportional to 368.56, 504.94 and 354.73 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.56 : 504.94 = 354.73 : x
  2. Step 2: Convert to fraction form
    368.56/504.94 = 354.73/x
  3. Step 3: Cross multiply
    368.56x = 504.94 × 354.73
  4. Step 4: Simplify right side
    368.56x = 179,117.37
  5. Step 5: Solve for x
    x = 179,117.37/368.56
  6. Step 6: Final answer
    x = 485.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.