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Finding the Fourth Proportional to 742.95, 1,114.44 and 256

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Solution

The fourth proportional to 742.95, 1,114.44 and 256 is: 384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.95 : 1,114.44 = 256 : x
  2. Step 2: Convert to fraction form
    742.95/1,114.44 = 256/x
  3. Step 3: Cross multiply
    742.95x = 1,114.44 × 256
  4. Step 4: Simplify right side
    742.95x = 285,296.64
  5. Step 5: Solve for x
    x = 285,296.64/742.95
  6. Step 6: Final answer
    x = 384.01

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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.