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Finding the Fourth Proportional to 433.24, 597.64 and 276.05

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Solution

The fourth proportional to 433.24, 597.64 and 276.05 is: 380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 597.64 = 276.05 : x
  2. Step 2: Convert to fraction form
    433.24/597.64 = 276.05/x
  3. Step 3: Cross multiply
    433.24x = 597.64 × 276.05
  4. Step 4: Simplify right side
    433.24x = 164,978.52
  5. Step 5: Solve for x
    x = 164,978.52/433.24
  6. Step 6: Final answer
    x = 380.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.