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Finding the Fourth Proportional to 412.52, 567.94 and 357.96

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Solution

The fourth proportional to 412.52, 567.94 and 357.96 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 567.94 = 357.96 : x
  2. Step 2: Convert to fraction form
    412.52/567.94 = 357.96/x
  3. Step 3: Cross multiply
    412.52x = 567.94 × 357.96
  4. Step 4: Simplify right side
    412.52x = 203,299.80
  5. Step 5: Solve for x
    x = 203,299.80/412.52
  6. Step 6: Final answer
    x = 492.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.