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Finding the Fourth Proportional to 389.41, 537.61 and 242.24

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Solution

The fourth proportional to 389.41, 537.61 and 242.24 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.41 : 537.61 = 242.24 : x
  2. Step 2: Convert to fraction form
    389.41/537.61 = 242.24/x
  3. Step 3: Cross multiply
    389.41x = 537.61 × 242.24
  4. Step 4: Simplify right side
    389.41x = 130,231.51
  5. Step 5: Solve for x
    x = 130,231.51/389.41
  6. Step 6: Final answer
    x = 334.44

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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.