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Finding the Fourth Proportional to 465.14, 697.24 and 205.28

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Solution

The fourth proportional to 465.14, 697.24 and 205.28 is: 307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.24 = 205.28 : x
  2. Step 2: Convert to fraction form
    465.14/697.24 = 205.28/x
  3. Step 3: Cross multiply
    465.14x = 697.24 × 205.28
  4. Step 4: Simplify right side
    465.14x = 143,128.81
  5. Step 5: Solve for x
    x = 143,128.81/465.14
  6. Step 6: Final answer
    x = 307.71

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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.