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Finding the Fourth Proportional to 451.56, 619.93 and 407.64

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Solution

The fourth proportional to 451.56, 619.93 and 407.64 is: 559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.56 : 619.93 = 407.64 : x
  2. Step 2: Convert to fraction form
    451.56/619.93 = 407.64/x
  3. Step 3: Cross multiply
    451.56x = 619.93 × 407.64
  4. Step 4: Simplify right side
    451.56x = 252,708.27
  5. Step 5: Solve for x
    x = 252,708.27/451.56
  6. Step 6: Final answer
    x = 559.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.