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Finding the Fourth Proportional to 475.34, 654.46 and 419.28

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Solution

The fourth proportional to 475.34, 654.46 and 419.28 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 654.46 = 419.28 : x
  2. Step 2: Convert to fraction form
    475.34/654.46 = 419.28/x
  3. Step 3: Cross multiply
    475.34x = 654.46 × 419.28
  4. Step 4: Simplify right side
    475.34x = 274,400.33
  5. Step 5: Solve for x
    x = 274,400.33/475.34
  6. Step 6: Final answer
    x = 577.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.