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Finding the Fourth Proportional to 380.13, 526.99 and 360.37

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Solution

The fourth proportional to 380.13, 526.99 and 360.37 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 526.99 = 360.37 : x
  2. Step 2: Convert to fraction form
    380.13/526.99 = 360.37/x
  3. Step 3: Cross multiply
    380.13x = 526.99 × 360.37
  4. Step 4: Simplify right side
    380.13x = 189,908.86
  5. Step 5: Solve for x
    x = 189,908.86/380.13
  6. Step 6: Final answer
    x = 499.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.