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Finding the Fourth Proportional to 940.56, 1,410.85 and 256.56

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Solution

The fourth proportional to 940.56, 1,410.85 and 256.56 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.56 : 1,410.85 = 256.56 : x
  2. Step 2: Convert to fraction form
    940.56/1,410.85 = 256.56/x
  3. Step 3: Cross multiply
    940.56x = 1,410.85 × 256.56
  4. Step 4: Simplify right side
    940.56x = 361,967.68
  5. Step 5: Solve for x
    x = 361,967.68/940.56
  6. Step 6: Final answer
    x = 384.84

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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.