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Finding the Fourth Proportional to 500.63, 751.16 and 208.33

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Solution

The fourth proportional to 500.63, 751.16 and 208.33 is: 312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.63 : 751.16 = 208.33 : x
  2. Step 2: Convert to fraction form
    500.63/751.16 = 208.33/x
  3. Step 3: Cross multiply
    500.63x = 751.16 × 208.33
  4. Step 4: Simplify right side
    500.63x = 156,487.81
  5. Step 5: Solve for x
    x = 156,487.81/500.63
  6. Step 6: Final answer
    x = 312.58

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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.