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Finding the Fourth Proportional to 433.03, 649.54 and 108.40

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Solution

The fourth proportional to 433.03, 649.54 and 108.40 is: 162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.03 : 649.54 = 108.40 : x
  2. Step 2: Convert to fraction form
    433.03/649.54 = 108.40/x
  3. Step 3: Cross multiply
    433.03x = 649.54 × 108.40
  4. Step 4: Simplify right side
    433.03x = 70,410.14
  5. Step 5: Solve for x
    x = 70,410.14/433.03
  6. Step 6: Final answer
    x = 162.60

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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.