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Finding the Fourth Proportional to 427.68, 587.10 and 419.52

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Solution

The fourth proportional to 427.68, 587.10 and 419.52 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 587.10 = 419.52 : x
  2. Step 2: Convert to fraction form
    427.68/587.10 = 419.52/x
  3. Step 3: Cross multiply
    427.68x = 587.10 × 419.52
  4. Step 4: Simplify right side
    427.68x = 246,300.19
  5. Step 5: Solve for x
    x = 246,300.19/427.68
  6. Step 6: Final answer
    x = 575.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.