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Finding the Fourth Proportional to 524.34, 785.90 and 216.03

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Solution

The fourth proportional to 524.34, 785.90 and 216.03 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 785.90 = 216.03 : x
  2. Step 2: Convert to fraction form
    524.34/785.90 = 216.03/x
  3. Step 3: Cross multiply
    524.34x = 785.90 × 216.03
  4. Step 4: Simplify right side
    524.34x = 169,776.90
  5. Step 5: Solve for x
    x = 169,776.90/524.34
  6. Step 6: Final answer
    x = 323.79

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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.