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Finding the Fourth Proportional to 584.89, 807.09 and 322.89

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Solution

The fourth proportional to 584.89, 807.09 and 322.89 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.89 : 807.09 = 322.89 : x
  2. Step 2: Convert to fraction form
    584.89/807.09 = 322.89/x
  3. Step 3: Cross multiply
    584.89x = 807.09 × 322.89
  4. Step 4: Simplify right side
    584.89x = 260,597.05
  5. Step 5: Solve for x
    x = 260,597.05/584.89
  6. Step 6: Final answer
    x = 445.55

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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.