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Finding the Fourth Proportional to 508.53, 764.08 and 488.03

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Solution

The fourth proportional to 508.53, 764.08 and 488.03 is: 733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 764.08 = 488.03 : x
  2. Step 2: Convert to fraction form
    508.53/764.08 = 488.03/x
  3. Step 3: Cross multiply
    508.53x = 764.08 × 488.03
  4. Step 4: Simplify right side
    508.53x = 372,890.35
  5. Step 5: Solve for x
    x = 372,890.35/508.53
  6. Step 6: Final answer
    x = 733.27

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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.