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Finding the Fourth Proportional to 433.06, 651.24 and 365.02

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Solution

The fourth proportional to 433.06, 651.24 and 365.02 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 651.24 = 365.02 : x
  2. Step 2: Convert to fraction form
    433.06/651.24 = 365.02/x
  3. Step 3: Cross multiply
    433.06x = 651.24 × 365.02
  4. Step 4: Simplify right side
    433.06x = 237,715.62
  5. Step 5: Solve for x
    x = 237,715.62/433.06
  6. Step 6: Final answer
    x = 548.92

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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.