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Finding the Fourth Proportional to 1,477.94, 2,216.96 and 382.31

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Solution

The fourth proportional to 1,477.94, 2,216.96 and 382.31 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.94 : 2,216.96 = 382.31 : x
  2. Step 2: Convert to fraction form
    1,477.94/2,216.96 = 382.31/x
  3. Step 3: Cross multiply
    1,477.94x = 2,216.96 × 382.31
  4. Step 4: Simplify right side
    1,477.94x = 847,552.98
  5. Step 5: Solve for x
    x = 847,552.98/1,477.94
  6. Step 6: Final answer
    x = 573.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.