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Finding the Fourth Proportional to 866.95, 1,300.46 and 380.00

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Solution

The fourth proportional to 866.95, 1,300.46 and 380.00 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.95 : 1,300.46 = 380.00 : x
  2. Step 2: Convert to fraction form
    866.95/1,300.46 = 380.00/x
  3. Step 3: Cross multiply
    866.95x = 1,300.46 × 380.00
  4. Step 4: Simplify right side
    866.95x = 494,176.15
  5. Step 5: Solve for x
    x = 494,176.15/866.95
  6. Step 6: Final answer
    x = 570.02

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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.