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Finding the Fourth Proportional to 389.93, 538.32 and 284.92

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Solution

The fourth proportional to 389.93, 538.32 and 284.92 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.93 : 538.32 = 284.92 : x
  2. Step 2: Convert to fraction form
    389.93/538.32 = 284.92/x
  3. Step 3: Cross multiply
    389.93x = 538.32 × 284.92
  4. Step 4: Simplify right side
    389.93x = 153,375.44
  5. Step 5: Solve for x
    x = 153,375.44/389.93
  6. Step 6: Final answer
    x = 393.34

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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.