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Finding the Fourth Proportional to 455.06, 628.10 and 258.57

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Solution

The fourth proportional to 455.06, 628.10 and 258.57 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 628.10 = 258.57 : x
  2. Step 2: Convert to fraction form
    455.06/628.10 = 258.57/x
  3. Step 3: Cross multiply
    455.06x = 628.10 × 258.57
  4. Step 4: Simplify right side
    455.06x = 162,406.52
  5. Step 5: Solve for x
    x = 162,406.52/455.06
  6. Step 6: Final answer
    x = 356.89

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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.