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Finding the Fourth Proportional to 455.69, 627.36 and 381.89

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Solution

The fourth proportional to 455.69, 627.36 and 381.89 is: 525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.69 : 627.36 = 381.89 : x
  2. Step 2: Convert to fraction form
    455.69/627.36 = 381.89/x
  3. Step 3: Cross multiply
    455.69x = 627.36 × 381.89
  4. Step 4: Simplify right side
    455.69x = 239,582.51
  5. Step 5: Solve for x
    x = 239,582.51/455.69
  6. Step 6: Final answer
    x = 525.76

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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.