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Finding the Fourth Proportional to 622.86, 934.14 and 190.05

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Solution

The fourth proportional to 622.86, 934.14 and 190.05 is: 285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.86 : 934.14 = 190.05 : x
  2. Step 2: Convert to fraction form
    622.86/934.14 = 190.05/x
  3. Step 3: Cross multiply
    622.86x = 934.14 × 190.05
  4. Step 4: Simplify right side
    622.86x = 177,533.31
  5. Step 5: Solve for x
    x = 177,533.31/622.86
  6. Step 6: Final answer
    x = 285.03

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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.