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Finding the Fourth Proportional to 508.40, 763.96 and 444.92

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Solution

The fourth proportional to 508.40, 763.96 and 444.92 is: 668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 763.96 = 444.92 : x
  2. Step 2: Convert to fraction form
    508.40/763.96 = 444.92/x
  3. Step 3: Cross multiply
    508.40x = 763.96 × 444.92
  4. Step 4: Simplify right side
    508.40x = 339,901.08
  5. Step 5: Solve for x
    x = 339,901.08/508.40
  6. Step 6: Final answer
    x = 668.57

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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.