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Finding the Fourth Proportional to 504.52, 755.26 and 309

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Solution

The fourth proportional to 504.52, 755.26 and 309 is: 462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.52 : 755.26 = 309 : x
  2. Step 2: Convert to fraction form
    504.52/755.26 = 309/x
  3. Step 3: Cross multiply
    504.52x = 755.26 × 309
  4. Step 4: Simplify right side
    504.52x = 233,375.34
  5. Step 5: Solve for x
    x = 233,375.34/504.52
  6. Step 6: Final answer
    x = 462.57

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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.