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Finding the Fourth Proportional to 584.68, 806.86 and 322.70

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Solution

The fourth proportional to 584.68, 806.86 and 322.70 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 806.86 = 322.70 : x
  2. Step 2: Convert to fraction form
    584.68/806.86 = 322.70/x
  3. Step 3: Cross multiply
    584.68x = 806.86 × 322.70
  4. Step 4: Simplify right side
    584.68x = 260,373.72
  5. Step 5: Solve for x
    x = 260,373.72/584.68
  6. Step 6: Final answer
    x = 445.33

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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.