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Finding the Fourth Proportional to 455.66, 628.78 and 259.17

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Solution

The fourth proportional to 455.66, 628.78 and 259.17 is: 357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.66 : 628.78 = 259.17 : x
  2. Step 2: Convert to fraction form
    455.66/628.78 = 259.17/x
  3. Step 3: Cross multiply
    455.66x = 628.78 × 259.17
  4. Step 4: Simplify right side
    455.66x = 162,958.39
  5. Step 5: Solve for x
    x = 162,958.39/455.66
  6. Step 6: Final answer
    x = 357.63

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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.