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Finding the Fourth Proportional to 365.24, 502.50 and 302.36

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Solution

The fourth proportional to 365.24, 502.50 and 302.36 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 502.50 = 302.36 : x
  2. Step 2: Convert to fraction form
    365.24/502.50 = 302.36/x
  3. Step 3: Cross multiply
    365.24x = 502.50 × 302.36
  4. Step 4: Simplify right side
    365.24x = 151,935.90
  5. Step 5: Solve for x
    x = 151,935.90/365.24
  6. Step 6: Final answer
    x = 415.99

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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.