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Finding the Fourth Proportional to 584.05, 875.27 and 323.66

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Solution

The fourth proportional to 584.05, 875.27 and 323.66 is: 485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 875.27 = 323.66 : x
  2. Step 2: Convert to fraction form
    584.05/875.27 = 323.66/x
  3. Step 3: Cross multiply
    584.05x = 875.27 × 323.66
  4. Step 4: Simplify right side
    584.05x = 283,289.89
  5. Step 5: Solve for x
    x = 283,289.89/584.05
  6. Step 6: Final answer
    x = 485.04

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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.