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Finding the Fourth Proportional to 365.30, 507.61 and 361.54

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Solution

The fourth proportional to 365.30, 507.61 and 361.54 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.30 : 507.61 = 361.54 : x
  2. Step 2: Convert to fraction form
    365.30/507.61 = 361.54/x
  3. Step 3: Cross multiply
    365.30x = 507.61 × 361.54
  4. Step 4: Simplify right side
    365.30x = 183,521.32
  5. Step 5: Solve for x
    x = 183,521.32/365.30
  6. Step 6: Final answer
    x = 502.39

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Why These Related Problems?

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