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Finding the Fourth Proportional to 584.08, 805.96 and 322.03

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Solution

The fourth proportional to 584.08, 805.96 and 322.03 is: 444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 805.96 = 322.03 : x
  2. Step 2: Convert to fraction form
    584.08/805.96 = 322.03/x
  3. Step 3: Cross multiply
    584.08x = 805.96 × 322.03
  4. Step 4: Simplify right side
    584.08x = 259,543.30
  5. Step 5: Solve for x
    x = 259,543.30/584.08
  6. Step 6: Final answer
    x = 444.36

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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.