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Finding the Fourth Proportional to 284.83, 427.46 and 256.12

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Solution

The fourth proportional to 284.83, 427.46 and 256.12 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.83 : 427.46 = 256.12 : x
  2. Step 2: Convert to fraction form
    284.83/427.46 = 256.12/x
  3. Step 3: Cross multiply
    284.83x = 427.46 × 256.12
  4. Step 4: Simplify right side
    284.83x = 109,478.71
  5. Step 5: Solve for x
    x = 109,478.71/284.83
  6. Step 6: Final answer
    x = 384.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.