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Finding the Fourth Proportional to 465.04, 694.37 and 448.24

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Solution

The fourth proportional to 465.04, 694.37 and 448.24 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.04 : 694.37 = 448.24 : x
  2. Step 2: Convert to fraction form
    465.04/694.37 = 448.24/x
  3. Step 3: Cross multiply
    465.04x = 694.37 × 448.24
  4. Step 4: Simplify right side
    465.04x = 311,244.41
  5. Step 5: Solve for x
    x = 311,244.41/465.04
  6. Step 6: Final answer
    x = 669.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.