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Finding the Fourth Proportional to 521.84, 782.76 and 156.62

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Solution

The fourth proportional to 521.84, 782.76 and 156.62 is: 234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.84 : 782.76 = 156.62 : x
  2. Step 2: Convert to fraction form
    521.84/782.76 = 156.62/x
  3. Step 3: Cross multiply
    521.84x = 782.76 × 156.62
  4. Step 4: Simplify right side
    521.84x = 122,595.87
  5. Step 5: Solve for x
    x = 122,595.87/521.84
  6. Step 6: Final answer
    x = 234.93

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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.