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Finding the Fourth Proportional to 366.37, 505.91 and 256.07

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Solution

The fourth proportional to 366.37, 505.91 and 256.07 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.37 : 505.91 = 256.07 : x
  2. Step 2: Convert to fraction form
    366.37/505.91 = 256.07/x
  3. Step 3: Cross multiply
    366.37x = 505.91 × 256.07
  4. Step 4: Simplify right side
    366.37x = 129,548.37
  5. Step 5: Solve for x
    x = 129,548.37/366.37
  6. Step 6: Final answer
    x = 353.60

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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.