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Finding the Fourth Proportional to 380.66, 525.04 and 367.96

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Solution

The fourth proportional to 380.66, 525.04 and 367.96 is: 507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 525.04 = 367.96 : x
  2. Step 2: Convert to fraction form
    380.66/525.04 = 367.96/x
  3. Step 3: Cross multiply
    380.66x = 525.04 × 367.96
  4. Step 4: Simplify right side
    380.66x = 193,189.25
  5. Step 5: Solve for x
    x = 193,189.25/380.66
  6. Step 6: Final answer
    x = 507.52

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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.