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Finding the Fourth Proportional to 508.98, 762.26 and 393.16

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Solution

The fourth proportional to 508.98, 762.26 and 393.16 is: 588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 762.26 = 393.16 : x
  2. Step 2: Convert to fraction form
    508.98/762.26 = 393.16/x
  3. Step 3: Cross multiply
    508.98x = 762.26 × 393.16
  4. Step 4: Simplify right side
    508.98x = 299,690.14
  5. Step 5: Solve for x
    x = 299,690.14/508.98
  6. Step 6: Final answer
    x = 588.81

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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.