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Finding the Fourth Proportional to 508.72, 766.04 and 431.95

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Solution

The fourth proportional to 508.72, 766.04 and 431.95 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 766.04 = 431.95 : x
  2. Step 2: Convert to fraction form
    508.72/766.04 = 431.95/x
  3. Step 3: Cross multiply
    508.72x = 766.04 × 431.95
  4. Step 4: Simplify right side
    508.72x = 330,890.98
  5. Step 5: Solve for x
    x = 330,890.98/508.72
  6. Step 6: Final answer
    x = 650.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.