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Finding the Fourth Proportional to 584.54, 806.63 and 322.55

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Solution

The fourth proportional to 584.54, 806.63 and 322.55 is: 445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 806.63 = 322.55 : x
  2. Step 2: Convert to fraction form
    584.54/806.63 = 322.55/x
  3. Step 3: Cross multiply
    584.54x = 806.63 × 322.55
  4. Step 4: Simplify right side
    584.54x = 260,178.51
  5. Step 5: Solve for x
    x = 260,178.51/584.54
  6. Step 6: Final answer
    x = 445.10

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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.