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Finding the Fourth Proportional to 1,477.37, 2,216.06 and 366.79

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Solution

The fourth proportional to 1,477.37, 2,216.06 and 366.79 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.37 : 2,216.06 = 366.79 : x
  2. Step 2: Convert to fraction form
    1,477.37/2,216.06 = 366.79/x
  3. Step 3: Cross multiply
    1,477.37x = 2,216.06 × 366.79
  4. Step 4: Simplify right side
    1,477.37x = 812,820.57
  5. Step 5: Solve for x
    x = 812,820.57/1,477.37
  6. Step 6: Final answer
    x = 550.18

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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.