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Finding the Fourth Proportional to 455.45, 628.52 and 259.02

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Solution

The fourth proportional to 455.45, 628.52 and 259.02 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.45 : 628.52 = 259.02 : x
  2. Step 2: Convert to fraction form
    455.45/628.52 = 259.02/x
  3. Step 3: Cross multiply
    455.45x = 628.52 × 259.02
  4. Step 4: Simplify right side
    455.45x = 162,797.96
  5. Step 5: Solve for x
    x = 162,797.96/455.45
  6. Step 6: Final answer
    x = 357.45

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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.