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Finding the Fourth Proportional to 818.58, 1,228.62 and 380.07

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Solution

The fourth proportional to 818.58, 1,228.62 and 380.07 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.58 : 1,228.62 = 380.07 : x
  2. Step 2: Convert to fraction form
    818.58/1,228.62 = 380.07/x
  3. Step 3: Cross multiply
    818.58x = 1,228.62 × 380.07
  4. Step 4: Simplify right side
    818.58x = 466,961.60
  5. Step 5: Solve for x
    x = 466,961.60/818.58
  6. Step 6: Final answer
    x = 570.45

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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.