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Finding the Fourth Proportional to 524.16, 785.76 and 296

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Solution

The fourth proportional to 524.16, 785.76 and 296 is: 443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 785.76 = 296 : x
  2. Step 2: Convert to fraction form
    524.16/785.76 = 296/x
  3. Step 3: Cross multiply
    524.16x = 785.76 × 296
  4. Step 4: Simplify right side
    524.16x = 232,584.96
  5. Step 5: Solve for x
    x = 232,584.96/524.16
  6. Step 6: Final answer
    x = 443.73

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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.