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Finding the Fourth Proportional to 505.82, 760.10 and 262.50

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Solution

The fourth proportional to 505.82, 760.10 and 262.50 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 760.10 = 262.50 : x
  2. Step 2: Convert to fraction form
    505.82/760.10 = 262.50/x
  3. Step 3: Cross multiply
    505.82x = 760.10 × 262.50
  4. Step 4: Simplify right side
    505.82x = 199,524.94
  5. Step 5: Solve for x
    x = 199,524.94/505.82
  6. Step 6: Final answer
    x = 394.46

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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.