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Finding the Fourth Proportional to 389.94, 538.16 and 334.86

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Solution

The fourth proportional to 389.94, 538.16 and 334.86 is: 462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 538.16 = 334.86 : x
  2. Step 2: Convert to fraction form
    389.94/538.16 = 334.86/x
  3. Step 3: Cross multiply
    389.94x = 538.16 × 334.86
  4. Step 4: Simplify right side
    389.94x = 180,208.26
  5. Step 5: Solve for x
    x = 180,208.26/389.94
  6. Step 6: Final answer
    x = 462.14

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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.