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Finding the Fourth Proportional to 374.90, 519.09 and 365.30

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Solution

The fourth proportional to 374.90, 519.09 and 365.30 is: 505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.90 : 519.09 = 365.30 : x
  2. Step 2: Convert to fraction form
    374.90/519.09 = 365.30/x
  3. Step 3: Cross multiply
    374.90x = 519.09 × 365.30
  4. Step 4: Simplify right side
    374.90x = 189,623.58
  5. Step 5: Solve for x
    x = 189,623.58/374.90
  6. Step 6: Final answer
    x = 505.80

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Why These Related Problems?

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