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Finding the Fourth Proportional to 506.01, 759.47 and 300.77

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Solution

The fourth proportional to 506.01, 759.47 and 300.77 is: 451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 759.47 = 300.77 : x
  2. Step 2: Convert to fraction form
    506.01/759.47 = 300.77/x
  3. Step 3: Cross multiply
    506.01x = 759.47 × 300.77
  4. Step 4: Simplify right side
    506.01x = 228,420.49
  5. Step 5: Solve for x
    x = 228,420.49/506.01
  6. Step 6: Final answer
    x = 451.41

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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.