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Finding the Fourth Proportional to 380.59, 524.94 and 367.89

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Solution

The fourth proportional to 380.59, 524.94 and 367.89 is: 507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 524.94 = 367.89 : x
  2. Step 2: Convert to fraction form
    380.59/524.94 = 367.89/x
  3. Step 3: Cross multiply
    380.59x = 524.94 × 367.89
  4. Step 4: Simplify right side
    380.59x = 193,120.18
  5. Step 5: Solve for x
    x = 193,120.18/380.59
  6. Step 6: Final answer
    x = 507.42

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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.