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Finding the Fourth Proportional to 380.16, 523.80 and 365.76

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Solution

The fourth proportional to 380.16, 523.80 and 365.76 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 523.80 = 365.76 : x
  2. Step 2: Convert to fraction form
    380.16/523.80 = 365.76/x
  3. Step 3: Cross multiply
    380.16x = 523.80 × 365.76
  4. Step 4: Simplify right side
    380.16x = 191,585.09
  5. Step 5: Solve for x
    x = 191,585.09/380.16
  6. Step 6: Final answer
    x = 503.96

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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.