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Finding the Fourth Proportional to 584.90, 809.21 and 572.10

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Solution

The fourth proportional to 584.90, 809.21 and 572.10 is: 791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.90 : 809.21 = 572.10 : x
  2. Step 2: Convert to fraction form
    584.90/809.21 = 572.10/x
  3. Step 3: Cross multiply
    584.90x = 809.21 × 572.10
  4. Step 4: Simplify right side
    584.90x = 462,949.04
  5. Step 5: Solve for x
    x = 462,949.04/584.90
  6. Step 6: Final answer
    x = 791.50

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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.