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Finding the Fourth Proportional to 365.63, 508.08 and 361.88

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Solution

The fourth proportional to 365.63, 508.08 and 361.88 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 508.08 = 361.88 : x
  2. Step 2: Convert to fraction form
    365.63/508.08 = 361.88/x
  3. Step 3: Cross multiply
    365.63x = 508.08 × 361.88
  4. Step 4: Simplify right side
    365.63x = 183,862.18
  5. Step 5: Solve for x
    x = 183,862.18/365.63
  6. Step 6: Final answer
    x = 502.86

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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.