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Finding the Fourth Proportional to 433.18, 597.14 and 339.73

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Solution

The fourth proportional to 433.18, 597.14 and 339.73 is: 468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 597.14 = 339.73 : x
  2. Step 2: Convert to fraction form
    433.18/597.14 = 339.73/x
  3. Step 3: Cross multiply
    433.18x = 597.14 × 339.73
  4. Step 4: Simplify right side
    433.18x = 202,864.67
  5. Step 5: Solve for x
    x = 202,864.67/433.18
  6. Step 6: Final answer
    x = 468.31

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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.