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Finding the Fourth Proportional to 365.08, 506.02 and 359.20

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Solution

The fourth proportional to 365.08, 506.02 and 359.20 is: 497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.08 : 506.02 = 359.20 : x
  2. Step 2: Convert to fraction form
    365.08/506.02 = 359.20/x
  3. Step 3: Cross multiply
    365.08x = 506.02 × 359.20
  4. Step 4: Simplify right side
    365.08x = 181,762.38
  5. Step 5: Solve for x
    x = 181,762.38/365.08
  6. Step 6: Final answer
    x = 497.87

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