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Finding the Fourth Proportional to 423.56, 634.63 and 407.56

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Solution

The fourth proportional to 423.56, 634.63 and 407.56 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 634.63 = 407.56 : x
  2. Step 2: Convert to fraction form
    423.56/634.63 = 407.56/x
  3. Step 3: Cross multiply
    423.56x = 634.63 × 407.56
  4. Step 4: Simplify right side
    423.56x = 258,649.80
  5. Step 5: Solve for x
    x = 258,649.80/423.56
  6. Step 6: Final answer
    x = 610.66

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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.