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Finding the Fourth Proportional to 380.62, 524.49 and 275.37

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Solution

The fourth proportional to 380.62, 524.49 and 275.37 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 524.49 = 275.37 : x
  2. Step 2: Convert to fraction form
    380.62/524.49 = 275.37/x
  3. Step 3: Cross multiply
    380.62x = 524.49 × 275.37
  4. Step 4: Simplify right side
    380.62x = 144,428.81
  5. Step 5: Solve for x
    x = 144,428.81/380.62
  6. Step 6: Final answer
    x = 379.46

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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.