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Finding the Fourth Proportional to 504.38, 755.55 and 462.38

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Solution

The fourth proportional to 504.38, 755.55 and 462.38 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 755.55 = 462.38 : x
  2. Step 2: Convert to fraction form
    504.38/755.55 = 462.38/x
  3. Step 3: Cross multiply
    504.38x = 755.55 × 462.38
  4. Step 4: Simplify right side
    504.38x = 349,351.21
  5. Step 5: Solve for x
    x = 349,351.21/504.38
  6. Step 6: Final answer
    x = 692.63

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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.