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Finding the Fourth Proportional to 504.10, 756.60 and 422.33

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Solution

The fourth proportional to 504.10, 756.60 and 422.33 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 756.60 = 422.33 : x
  2. Step 2: Convert to fraction form
    504.10/756.60 = 422.33/x
  3. Step 3: Cross multiply
    504.10x = 756.60 × 422.33
  4. Step 4: Simplify right side
    504.10x = 319,532.77
  5. Step 5: Solve for x
    x = 319,532.77/504.10
  6. Step 6: Final answer
    x = 633.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.