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Finding the Fourth Proportional to 355.98, 533.40 and 234.48

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Solution

The fourth proportional to 355.98, 533.40 and 234.48 is: 351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 533.40 = 234.48 : x
  2. Step 2: Convert to fraction form
    355.98/533.40 = 234.48/x
  3. Step 3: Cross multiply
    355.98x = 533.40 × 234.48
  4. Step 4: Simplify right side
    355.98x = 125,071.63
  5. Step 5: Solve for x
    x = 125,071.63/355.98
  6. Step 6: Final answer
    x = 351.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.