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Finding the Fourth Proportional to 465.13, 697.49 and 419.91

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Solution

The fourth proportional to 465.13, 697.49 and 419.91 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 697.49 = 419.91 : x
  2. Step 2: Convert to fraction form
    465.13/697.49 = 419.91/x
  3. Step 3: Cross multiply
    465.13x = 697.49 × 419.91
  4. Step 4: Simplify right side
    465.13x = 292,883.03
  5. Step 5: Solve for x
    x = 292,883.03/465.13
  6. Step 6: Final answer
    x = 629.68

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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.