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Finding the Fourth Proportional to 521.77, 782.54 and 229.36

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Solution

The fourth proportional to 521.77, 782.54 and 229.36 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.77 : 782.54 = 229.36 : x
  2. Step 2: Convert to fraction form
    521.77/782.54 = 229.36/x
  3. Step 3: Cross multiply
    521.77x = 782.54 × 229.36
  4. Step 4: Simplify right side
    521.77x = 179,478.31
  5. Step 5: Solve for x
    x = 179,478.31/521.77
  6. Step 6: Final answer
    x = 343.98

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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.