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Finding the Fourth Proportional to 1,477.99, 2,216.97 and 382.34

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Solution

The fourth proportional to 1,477.99, 2,216.97 and 382.34 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.99 : 2,216.97 = 382.34 : x
  2. Step 2: Convert to fraction form
    1,477.99/2,216.97 = 382.34/x
  3. Step 3: Cross multiply
    1,477.99x = 2,216.97 × 382.34
  4. Step 4: Simplify right side
    1,477.99x = 847,636.31
  5. Step 5: Solve for x
    x = 847,636.31/1,477.99
  6. Step 6: Final answer
    x = 573.51

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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.