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Finding the Fourth Proportional to 455.03, 681.85 and 211.27

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Solution

The fourth proportional to 455.03, 681.85 and 211.27 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.03 : 681.85 = 211.27 : x
  2. Step 2: Convert to fraction form
    455.03/681.85 = 211.27/x
  3. Step 3: Cross multiply
    455.03x = 681.85 × 211.27
  4. Step 4: Simplify right side
    455.03x = 144,054.45
  5. Step 5: Solve for x
    x = 144,054.45/455.03
  6. Step 6: Final answer
    x = 316.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.