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Finding the Fourth Proportional to 433.38, 597.86 and 275.76

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Solution

The fourth proportional to 433.38, 597.86 and 275.76 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.38 : 597.86 = 275.76 : x
  2. Step 2: Convert to fraction form
    433.38/597.86 = 275.76/x
  3. Step 3: Cross multiply
    433.38x = 597.86 × 275.76
  4. Step 4: Simplify right side
    433.38x = 164,865.87
  5. Step 5: Solve for x
    x = 164,865.87/433.38
  6. Step 6: Final answer
    x = 380.42

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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.