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Finding the Fourth Proportional to 469.09, 703.64 and 144.46

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Solution

The fourth proportional to 469.09, 703.64 and 144.46 is: 216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.09 : 703.64 = 144.46 : x
  2. Step 2: Convert to fraction form
    469.09/703.64 = 144.46/x
  3. Step 3: Cross multiply
    469.09x = 703.64 × 144.46
  4. Step 4: Simplify right side
    469.09x = 101,645.35
  5. Step 5: Solve for x
    x = 101,645.35/469.09
  6. Step 6: Final answer
    x = 216.69

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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.