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Finding the Fourth Proportional to 422.52, 633.06 and 407.40

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Solution

The fourth proportional to 422.52, 633.06 and 407.40 is: 610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.52 : 633.06 = 407.40 : x
  2. Step 2: Convert to fraction form
    422.52/633.06 = 407.40/x
  3. Step 3: Cross multiply
    422.52x = 633.06 × 407.40
  4. Step 4: Simplify right side
    422.52x = 257,908.64
  5. Step 5: Solve for x
    x = 257,908.64/422.52
  6. Step 6: Final answer
    x = 610.41

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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.