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Finding the Fourth Proportional to 380.51, 524.71 and 325.43

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Solution

The fourth proportional to 380.51, 524.71 and 325.43 is: 448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.51 : 524.71 = 325.43 : x
  2. Step 2: Convert to fraction form
    380.51/524.71 = 325.43/x
  3. Step 3: Cross multiply
    380.51x = 524.71 × 325.43
  4. Step 4: Simplify right side
    380.51x = 170,756.38
  5. Step 5: Solve for x
    x = 170,756.38/380.51
  6. Step 6: Final answer
    x = 448.76

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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.