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Finding the Fourth Proportional to 455.04, 628.01 and 442.69

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Solution

The fourth proportional to 455.04, 628.01 and 442.69 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 628.01 = 442.69 : x
  2. Step 2: Convert to fraction form
    455.04/628.01 = 442.69/x
  3. Step 3: Cross multiply
    455.04x = 628.01 × 442.69
  4. Step 4: Simplify right side
    455.04x = 278,013.75
  5. Step 5: Solve for x
    x = 278,013.75/455.04
  6. Step 6: Final answer
    x = 610.97

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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.