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Finding the Fourth Proportional to 584.94, 807.22 and 322.96

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Solution

The fourth proportional to 584.94, 807.22 and 322.96 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 807.22 = 322.96 : x
  2. Step 2: Convert to fraction form
    584.94/807.22 = 322.96/x
  3. Step 3: Cross multiply
    584.94x = 807.22 × 322.96
  4. Step 4: Simplify right side
    584.94x = 260,699.77
  5. Step 5: Solve for x
    x = 260,699.77/584.94
  6. Step 6: Final answer
    x = 445.69

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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.