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Finding the Fourth Proportional to 504.07, 755.73 and 431.33

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Solution

The fourth proportional to 504.07, 755.73 and 431.33 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 755.73 = 431.33 : x
  2. Step 2: Convert to fraction form
    504.07/755.73 = 431.33/x
  3. Step 3: Cross multiply
    504.07x = 755.73 × 431.33
  4. Step 4: Simplify right side
    504.07x = 325,965.24
  5. Step 5: Solve for x
    x = 325,965.24/504.07
  6. Step 6: Final answer
    x = 646.66

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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.