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Finding the Fourth Proportional to 567.89, 851.83 and 294.51

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Solution

The fourth proportional to 567.89, 851.83 and 294.51 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 851.83 = 294.51 : x
  2. Step 2: Convert to fraction form
    567.89/851.83 = 294.51/x
  3. Step 3: Cross multiply
    567.89x = 851.83 × 294.51
  4. Step 4: Simplify right side
    567.89x = 250,872.45
  5. Step 5: Solve for x
    x = 250,872.45/567.89
  6. Step 6: Final answer
    x = 441.76

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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.