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Finding the Fourth Proportional to 584.04, 806.01 and 322.10

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Solution

The fourth proportional to 584.04, 806.01 and 322.10 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 806.01 = 322.10 : x
  2. Step 2: Convert to fraction form
    584.04/806.01 = 322.10/x
  3. Step 3: Cross multiply
    584.04x = 806.01 × 322.10
  4. Step 4: Simplify right side
    584.04x = 259,615.82
  5. Step 5: Solve for x
    x = 259,615.82/584.04
  6. Step 6: Final answer
    x = 444.52

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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.