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Finding the Fourth Proportional to 552.75, 762.80 and 320.01

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Solution

The fourth proportional to 552.75, 762.80 and 320.01 is: 441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 762.80 = 320.01 : x
  2. Step 2: Convert to fraction form
    552.75/762.80 = 320.01/x
  3. Step 3: Cross multiply
    552.75x = 762.80 × 320.01
  4. Step 4: Simplify right side
    552.75x = 244,102.03
  5. Step 5: Solve for x
    x = 244,102.03/552.75
  6. Step 6: Final answer
    x = 441.61

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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.