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Finding the Fourth Proportional to 469.75, 703.01 and 453.55

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Solution

The fourth proportional to 469.75, 703.01 and 453.55 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.75 : 703.01 = 453.55 : x
  2. Step 2: Convert to fraction form
    469.75/703.01 = 453.55/x
  3. Step 3: Cross multiply
    469.75x = 703.01 × 453.55
  4. Step 4: Simplify right side
    469.75x = 318,847.92
  5. Step 5: Solve for x
    x = 318,847.92/469.75
  6. Step 6: Final answer
    x = 678.76

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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.