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Finding the Fourth Proportional to 455.37, 628.40 and 258.86

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Solution

The fourth proportional to 455.37, 628.40 and 258.86 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.37 : 628.40 = 258.86 : x
  2. Step 2: Convert to fraction form
    455.37/628.40 = 258.86/x
  3. Step 3: Cross multiply
    455.37x = 628.40 × 258.86
  4. Step 4: Simplify right side
    455.37x = 162,665.13
  5. Step 5: Solve for x
    x = 162,665.13/455.37
  6. Step 6: Final answer
    x = 357.22

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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.