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Finding the Fourth Proportional to 368.87, 507.42 and 301.73

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Solution

The fourth proportional to 368.87, 507.42 and 301.73 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.87 : 507.42 = 301.73 : x
  2. Step 2: Convert to fraction form
    368.87/507.42 = 301.73/x
  3. Step 3: Cross multiply
    368.87x = 507.42 × 301.73
  4. Step 4: Simplify right side
    368.87x = 153,101.30
  5. Step 5: Solve for x
    x = 153,101.30/368.87
  6. Step 6: Final answer
    x = 415.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.