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Finding the Fourth Proportional to 584.61, 806.74 and 322.62

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Solution

The fourth proportional to 584.61, 806.74 and 322.62 is: 445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.61 : 806.74 = 322.62 : x
  2. Step 2: Convert to fraction form
    584.61/806.74 = 322.62/x
  3. Step 3: Cross multiply
    584.61x = 806.74 × 322.62
  4. Step 4: Simplify right side
    584.61x = 260,270.46
  5. Step 5: Solve for x
    x = 260,270.46/584.61
  6. Step 6: Final answer
    x = 445.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.