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Finding the Fourth Proportional to 380.71, 526.80 and 325.36

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Solution

The fourth proportional to 380.71, 526.80 and 325.36 is: 450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.71 : 526.80 = 325.36 : x
  2. Step 2: Convert to fraction form
    380.71/526.80 = 325.36/x
  3. Step 3: Cross multiply
    380.71x = 526.80 × 325.36
  4. Step 4: Simplify right side
    380.71x = 171,399.65
  5. Step 5: Solve for x
    x = 171,399.65/380.71
  6. Step 6: Final answer
    x = 450.21

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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.