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Finding the Fourth Proportional to 567.92, 852.96 and 279.56

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Solution

The fourth proportional to 567.92, 852.96 and 279.56 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.92 : 852.96 = 279.56 : x
  2. Step 2: Convert to fraction form
    567.92/852.96 = 279.56/x
  3. Step 3: Cross multiply
    567.92x = 852.96 × 279.56
  4. Step 4: Simplify right side
    567.92x = 238,453.50
  5. Step 5: Solve for x
    x = 238,453.50/567.92
  6. Step 6: Final answer
    x = 419.87

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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.