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Finding the Fourth Proportional to 818.63, 1,228.23 and 380.09

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Solution

The fourth proportional to 818.63, 1,228.23 and 380.09 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.63 : 1,228.23 = 380.09 : x
  2. Step 2: Convert to fraction form
    818.63/1,228.23 = 380.09/x
  3. Step 3: Cross multiply
    818.63x = 1,228.23 × 380.09
  4. Step 4: Simplify right side
    818.63x = 466,831.80
  5. Step 5: Solve for x
    x = 466,831.80/818.63
  6. Step 6: Final answer
    x = 570.26

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1.5x scale

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.