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Finding the Fourth Proportional to 503.26, 692.09 and 418.47

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Solution

The fourth proportional to 503.26, 692.09 and 418.47 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 692.09 = 418.47 : x
  2. Step 2: Convert to fraction form
    503.26/692.09 = 418.47/x
  3. Step 3: Cross multiply
    503.26x = 692.09 × 418.47
  4. Step 4: Simplify right side
    503.26x = 289,618.14
  5. Step 5: Solve for x
    x = 289,618.14/503.26
  6. Step 6: Final answer
    x = 575.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.