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Finding the Fourth Proportional to 389.24, 536.96 and 284.15

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Solution

The fourth proportional to 389.24, 536.96 and 284.15 is: 391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 536.96 = 284.15 : x
  2. Step 2: Convert to fraction form
    389.24/536.96 = 284.15/x
  3. Step 3: Cross multiply
    389.24x = 536.96 × 284.15
  4. Step 4: Simplify right side
    389.24x = 152,579.24
  5. Step 5: Solve for x
    x = 152,579.24/389.24
  6. Step 6: Final answer
    x = 391.99

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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.