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Finding the Fourth Proportional to 431.54, 596.14 and 344.10

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Solution

The fourth proportional to 431.54, 596.14 and 344.10 is: 475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.54 : 596.14 = 344.10 : x
  2. Step 2: Convert to fraction form
    431.54/596.14 = 344.10/x
  3. Step 3: Cross multiply
    431.54x = 596.14 × 344.10
  4. Step 4: Simplify right side
    431.54x = 205,131.77
  5. Step 5: Solve for x
    x = 205,131.77/431.54
  6. Step 6: Final answer
    x = 475.35

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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.