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Finding the Fourth Proportional to 471.69, 703.62 and 438.28

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Solution

The fourth proportional to 471.69, 703.62 and 438.28 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 703.62 = 438.28 : x
  2. Step 2: Convert to fraction form
    471.69/703.62 = 438.28/x
  3. Step 3: Cross multiply
    471.69x = 703.62 × 438.28
  4. Step 4: Simplify right side
    471.69x = 308,380.81
  5. Step 5: Solve for x
    x = 308,380.81/471.69
  6. Step 6: Final answer
    x = 653.78

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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.