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Finding the Fourth Proportional to 427.44, 592.35 and 419.24

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Solution

The fourth proportional to 427.44, 592.35 and 419.24 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.44 : 592.35 = 419.24 : x
  2. Step 2: Convert to fraction form
    427.44/592.35 = 419.24/x
  3. Step 3: Cross multiply
    427.44x = 592.35 × 419.24
  4. Step 4: Simplify right side
    427.44x = 248,339.08
  5. Step 5: Solve for x
    x = 248,339.08/427.44
  6. Step 6: Final answer
    x = 580.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.