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Finding the Fourth Proportional to 284.52, 390.06 and 283.77

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Solution

The fourth proportional to 284.52, 390.06 and 283.77 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 390.06 = 283.77 : x
  2. Step 2: Convert to fraction form
    284.52/390.06 = 283.77/x
  3. Step 3: Cross multiply
    284.52x = 390.06 × 283.77
  4. Step 4: Simplify right side
    284.52x = 110,687.33
  5. Step 5: Solve for x
    x = 110,687.33/284.52
  6. Step 6: Final answer
    x = 389.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.