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Finding the Fourth Proportional to 389.12, 536.48 and 284

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Solution

The fourth proportional to 389.12, 536.48 and 284 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 536.48 = 284 : x
  2. Step 2: Convert to fraction form
    389.12/536.48 = 284/x
  3. Step 3: Cross multiply
    389.12x = 536.48 × 284
  4. Step 4: Simplify right side
    389.12x = 152,360.32
  5. Step 5: Solve for x
    x = 152,360.32/389.12
  6. Step 6: Final answer
    x = 391.55

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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.