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Finding the Fourth Proportional to 455.72, 628.96 and 259.28

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Solution

The fourth proportional to 455.72, 628.96 and 259.28 is: 357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.72 : 628.96 = 259.28 : x
  2. Step 2: Convert to fraction form
    455.72/628.96 = 259.28/x
  3. Step 3: Cross multiply
    455.72x = 628.96 × 259.28
  4. Step 4: Simplify right side
    455.72x = 163,076.75
  5. Step 5: Solve for x
    x = 163,076.75/455.72
  6. Step 6: Final answer
    x = 357.84

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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.