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Finding the Fourth Proportional to 584.97, 807.27 and 323

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Solution

The fourth proportional to 584.97, 807.27 and 323 is: 445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.97 : 807.27 = 323 : x
  2. Step 2: Convert to fraction form
    584.97/807.27 = 323/x
  3. Step 3: Cross multiply
    584.97x = 807.27 × 323
  4. Step 4: Simplify right side
    584.97x = 260,748.21
  5. Step 5: Solve for x
    x = 260,748.21/584.97
  6. Step 6: Final answer
    x = 445.75

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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.