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Finding the Fourth Proportional to 500.12, 749.46 and 307.64

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Solution

The fourth proportional to 500.12, 749.46 and 307.64 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.12 : 749.46 = 307.64 : x
  2. Step 2: Convert to fraction form
    500.12/749.46 = 307.64/x
  3. Step 3: Cross multiply
    500.12x = 749.46 × 307.64
  4. Step 4: Simplify right side
    500.12x = 230,563.87
  5. Step 5: Solve for x
    x = 230,563.87/500.12
  6. Step 6: Final answer
    x = 461.02

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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.