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Finding the Fourth Proportional to 504.04, 754.74 and 422.68

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Solution

The fourth proportional to 504.04, 754.74 and 422.68 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.04 : 754.74 = 422.68 : x
  2. Step 2: Convert to fraction form
    504.04/754.74 = 422.68/x
  3. Step 3: Cross multiply
    504.04x = 754.74 × 422.68
  4. Step 4: Simplify right side
    504.04x = 319,013.50
  5. Step 5: Solve for x
    x = 319,013.50/504.04
  6. Step 6: Final answer
    x = 632.91

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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.