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Finding the Fourth Proportional to 365.80, 505.50 and 278.32

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Solution

The fourth proportional to 365.80, 505.50 and 278.32 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 505.50 = 278.32 : x
  2. Step 2: Convert to fraction form
    365.80/505.50 = 278.32/x
  3. Step 3: Cross multiply
    365.80x = 505.50 × 278.32
  4. Step 4: Simplify right side
    365.80x = 140,690.76
  5. Step 5: Solve for x
    x = 140,690.76/365.80
  6. Step 6: Final answer
    x = 384.61

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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.