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Finding the Fourth Proportional to 431.44, 595.96 and 339.36

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Solution

The fourth proportional to 431.44, 595.96 and 339.36 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 595.96 = 339.36 : x
  2. Step 2: Convert to fraction form
    431.44/595.96 = 339.36/x
  3. Step 3: Cross multiply
    431.44x = 595.96 × 339.36
  4. Step 4: Simplify right side
    431.44x = 202,244.99
  5. Step 5: Solve for x
    x = 202,244.99/431.44
  6. Step 6: Final answer
    x = 468.77

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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.