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Finding the Fourth Proportional to 333.69, 503.00 and 305.96

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Solution

The fourth proportional to 333.69, 503.00 and 305.96 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.69 : 503.00 = 305.96 : x
  2. Step 2: Convert to fraction form
    333.69/503.00 = 305.96/x
  3. Step 3: Cross multiply
    333.69x = 503.00 × 305.96
  4. Step 4: Simplify right side
    333.69x = 153,893.84
  5. Step 5: Solve for x
    x = 153,893.84/333.69
  6. Step 6: Final answer
    x = 461.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.