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Finding the Fourth Proportional to 507.23, 760.36 and 275.78

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Solution

The fourth proportional to 507.23, 760.36 and 275.78 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 760.36 = 275.78 : x
  2. Step 2: Convert to fraction form
    507.23/760.36 = 275.78/x
  3. Step 3: Cross multiply
    507.23x = 760.36 × 275.78
  4. Step 4: Simplify right side
    507.23x = 209,692.08
  5. Step 5: Solve for x
    x = 209,692.08/507.23
  6. Step 6: Final answer
    x = 413.41

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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.