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Finding the Fourth Proportional to 428.14, 591.06 and 419.23

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Solution

The fourth proportional to 428.14, 591.06 and 419.23 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 591.06 = 419.23 : x
  2. Step 2: Convert to fraction form
    428.14/591.06 = 419.23/x
  3. Step 3: Cross multiply
    428.14x = 591.06 × 419.23
  4. Step 4: Simplify right side
    428.14x = 247,790.08
  5. Step 5: Solve for x
    x = 247,790.08/428.14
  6. Step 6: Final answer
    x = 578.76

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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.