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Finding the Fourth Proportional to 380.36, 524.93 and 325.08

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Solution

The fourth proportional to 380.36, 524.93 and 325.08 is: 448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 524.93 = 325.08 : x
  2. Step 2: Convert to fraction form
    380.36/524.93 = 325.08/x
  3. Step 3: Cross multiply
    380.36x = 524.93 × 325.08
  4. Step 4: Simplify right side
    380.36x = 170,642.62
  5. Step 5: Solve for x
    x = 170,642.62/380.36
  6. Step 6: Final answer
    x = 448.63

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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.