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Finding the Fourth Proportional to 377.81, 521.37 and 238.01

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Solution

The fourth proportional to 377.81, 521.37 and 238.01 is: 328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.81 : 521.37 = 238.01 : x
  2. Step 2: Convert to fraction form
    377.81/521.37 = 238.01/x
  3. Step 3: Cross multiply
    377.81x = 521.37 × 238.01
  4. Step 4: Simplify right side
    377.81x = 124,088.67
  5. Step 5: Solve for x
    x = 124,088.67/377.81
  6. Step 6: Final answer
    x = 328.44

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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.