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Finding the Fourth Proportional to 424.87, 583.19 and 377.19

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Solution

The fourth proportional to 424.87, 583.19 and 377.19 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.87 : 583.19 = 377.19 : x
  2. Step 2: Convert to fraction form
    424.87/583.19 = 377.19/x
  3. Step 3: Cross multiply
    424.87x = 583.19 × 377.19
  4. Step 4: Simplify right side
    424.87x = 219,973.44
  5. Step 5: Solve for x
    x = 219,973.44/424.87
  6. Step 6: Final answer
    x = 517.74

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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.