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Finding the Fourth Proportional to 433.93, 651.05 and 202.89

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Solution

The fourth proportional to 433.93, 651.05 and 202.89 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.93 : 651.05 = 202.89 : x
  2. Step 2: Convert to fraction form
    433.93/651.05 = 202.89/x
  3. Step 3: Cross multiply
    433.93x = 651.05 × 202.89
  4. Step 4: Simplify right side
    433.93x = 132,091.28
  5. Step 5: Solve for x
    x = 132,091.28/433.93
  6. Step 6: Final answer
    x = 304.41

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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.