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Finding the Fourth Proportional to 455.36, 628.24 and 256.16

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Solution

The fourth proportional to 455.36, 628.24 and 256.16 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 628.24 = 256.16 : x
  2. Step 2: Convert to fraction form
    455.36/628.24 = 256.16/x
  3. Step 3: Cross multiply
    455.36x = 628.24 × 256.16
  4. Step 4: Simplify right side
    455.36x = 160,928.68
  5. Step 5: Solve for x
    x = 160,928.68/455.36
  6. Step 6: Final answer
    x = 353.41

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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.