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Finding the Fourth Proportional to 499.63, 749.25 and 294.25

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Solution

The fourth proportional to 499.63, 749.25 and 294.25 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.63 : 749.25 = 294.25 : x
  2. Step 2: Convert to fraction form
    499.63/749.25 = 294.25/x
  3. Step 3: Cross multiply
    499.63x = 749.25 × 294.25
  4. Step 4: Simplify right side
    499.63x = 220,466.81
  5. Step 5: Solve for x
    x = 220,466.81/499.63
  6. Step 6: Final answer
    x = 441.26

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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.