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Finding the Fourth Proportional to 507.93, 762.03 and 183.33

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Solution

The fourth proportional to 507.93, 762.03 and 183.33 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.93 : 762.03 = 183.33 : x
  2. Step 2: Convert to fraction form
    507.93/762.03 = 183.33/x
  3. Step 3: Cross multiply
    507.93x = 762.03 × 183.33
  4. Step 4: Simplify right side
    507.93x = 139,702.96
  5. Step 5: Solve for x
    x = 139,702.96/507.93
  6. Step 6: Final answer
    x = 275.04

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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.