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Finding the Fourth Proportional to 433.24, 597.72 and 278.08

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Solution

The fourth proportional to 433.24, 597.72 and 278.08 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 597.72 = 278.08 : x
  2. Step 2: Convert to fraction form
    433.24/597.72 = 278.08/x
  3. Step 3: Cross multiply
    433.24x = 597.72 × 278.08
  4. Step 4: Simplify right side
    433.24x = 166,213.98
  5. Step 5: Solve for x
    x = 166,213.98/433.24
  6. Step 6: Final answer
    x = 383.65

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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.