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Finding the Fourth Proportional to 705.21, 972.77 and 443.01

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Solution

The fourth proportional to 705.21, 972.77 and 443.01 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 972.77 = 443.01 : x
  2. Step 2: Convert to fraction form
    705.21/972.77 = 443.01/x
  3. Step 3: Cross multiply
    705.21x = 972.77 × 443.01
  4. Step 4: Simplify right side
    705.21x = 430,944.62
  5. Step 5: Solve for x
    x = 430,944.62/705.21
  6. Step 6: Final answer
    x = 611.09

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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.