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Finding the Fourth Proportional to 380.69, 525.75 and 264.05

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Solution

The fourth proportional to 380.69, 525.75 and 264.05 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.69 : 525.75 = 264.05 : x
  2. Step 2: Convert to fraction form
    380.69/525.75 = 264.05/x
  3. Step 3: Cross multiply
    380.69x = 525.75 × 264.05
  4. Step 4: Simplify right side
    380.69x = 138,824.29
  5. Step 5: Solve for x
    x = 138,824.29/380.69
  6. Step 6: Final answer
    x = 364.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.