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Finding the Fourth Proportional to 584.72, 806.93 and 322.75

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Solution

The fourth proportional to 584.72, 806.93 and 322.75 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 806.93 = 322.75 : x
  2. Step 2: Convert to fraction form
    584.72/806.93 = 322.75/x
  3. Step 3: Cross multiply
    584.72x = 806.93 × 322.75
  4. Step 4: Simplify right side
    584.72x = 260,437.26
  5. Step 5: Solve for x
    x = 260,437.26/584.72
  6. Step 6: Final answer
    x = 445.41

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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.