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Finding the Fourth Proportional to 521.68, 782.33 and 156.35

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Solution

The fourth proportional to 521.68, 782.33 and 156.35 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.68 : 782.33 = 156.35 : x
  2. Step 2: Convert to fraction form
    521.68/782.33 = 156.35/x
  3. Step 3: Cross multiply
    521.68x = 782.33 × 156.35
  4. Step 4: Simplify right side
    521.68x = 122,312.60
  5. Step 5: Solve for x
    x = 122,312.60/521.68
  6. Step 6: Final answer
    x = 234.46

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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.