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Finding the Fourth Proportional to 465.25, 697.29 and 407.33

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Solution

The fourth proportional to 465.25, 697.29 and 407.33 is: 610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.25 : 697.29 = 407.33 : x
  2. Step 2: Convert to fraction form
    465.25/697.29 = 407.33/x
  3. Step 3: Cross multiply
    465.25x = 697.29 × 407.33
  4. Step 4: Simplify right side
    465.25x = 284,027.14
  5. Step 5: Solve for x
    x = 284,027.14/465.25
  6. Step 6: Final answer
    x = 610.49

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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.