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Finding the Fourth Proportional to 433.31, 597.80 and 278.15

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Solution

The fourth proportional to 433.31, 597.80 and 278.15 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 597.80 = 278.15 : x
  2. Step 2: Convert to fraction form
    433.31/597.80 = 278.15/x
  3. Step 3: Cross multiply
    433.31x = 597.80 × 278.15
  4. Step 4: Simplify right side
    433.31x = 166,278.07
  5. Step 5: Solve for x
    x = 166,278.07/433.31
  6. Step 6: Final answer
    x = 383.74

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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.