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Finding the Fourth Proportional to 524.46, 785.65 and 246.43

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Solution

The fourth proportional to 524.46, 785.65 and 246.43 is: 369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.46 : 785.65 = 246.43 : x
  2. Step 2: Convert to fraction form
    524.46/785.65 = 246.43/x
  3. Step 3: Cross multiply
    524.46x = 785.65 × 246.43
  4. Step 4: Simplify right side
    524.46x = 193,607.73
  5. Step 5: Solve for x
    x = 193,607.73/524.46
  6. Step 6: Final answer
    x = 369.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.