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Finding the Fourth Proportional to 705.95, 974.09 and 443.78

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Solution

The fourth proportional to 705.95, 974.09 and 443.78 is: 612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.95 : 974.09 = 443.78 : x
  2. Step 2: Convert to fraction form
    705.95/974.09 = 443.78/x
  3. Step 3: Cross multiply
    705.95x = 974.09 × 443.78
  4. Step 4: Simplify right side
    705.95x = 432,281.66
  5. Step 5: Solve for x
    x = 432,281.66/705.95
  6. Step 6: Final answer
    x = 612.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.