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Finding the Fourth Proportional to 514.09, 771.10 and 441.46

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Solution

The fourth proportional to 514.09, 771.10 and 441.46 is: 662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.09 : 771.10 = 441.46 : x
  2. Step 2: Convert to fraction form
    514.09/771.10 = 441.46/x
  3. Step 3: Cross multiply
    514.09x = 771.10 × 441.46
  4. Step 4: Simplify right side
    514.09x = 340,406.77
  5. Step 5: Solve for x
    x = 340,406.77/514.09
  6. Step 6: Final answer
    x = 662.16

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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.