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Finding the Fourth Proportional to 354.90, 532.80 and 233.94

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Solution

The fourth proportional to 354.90, 532.80 and 233.94 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 532.80 = 233.94 : x
  2. Step 2: Convert to fraction form
    354.90/532.80 = 233.94/x
  3. Step 3: Cross multiply
    354.90x = 532.80 × 233.94
  4. Step 4: Simplify right side
    354.90x = 124,643.23
  5. Step 5: Solve for x
    x = 124,643.23/354.90
  6. Step 6: Final answer
    x = 351.21

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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.