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Finding the Fourth Proportional to 504.23, 755.39 and 401.63

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Solution

The fourth proportional to 504.23, 755.39 and 401.63 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 755.39 = 401.63 : x
  2. Step 2: Convert to fraction form
    504.23/755.39 = 401.63/x
  3. Step 3: Cross multiply
    504.23x = 755.39 × 401.63
  4. Step 4: Simplify right side
    504.23x = 303,384.51
  5. Step 5: Solve for x
    x = 303,384.51/504.23
  6. Step 6: Final answer
    x = 601.68

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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.