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Finding the Fourth Proportional to 465.19, 697.97 and 205.05

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Solution

The fourth proportional to 465.19, 697.97 and 205.05 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 697.97 = 205.05 : x
  2. Step 2: Convert to fraction form
    465.19/697.97 = 205.05/x
  3. Step 3: Cross multiply
    465.19x = 697.97 × 205.05
  4. Step 4: Simplify right side
    465.19x = 143,119.26
  5. Step 5: Solve for x
    x = 143,119.26/465.19
  6. Step 6: Final answer
    x = 307.66

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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.