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Finding the Fourth Proportional to 584.48, 806.56 and 322.48

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Solution

The fourth proportional to 584.48, 806.56 and 322.48 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 806.56 = 322.48 : x
  2. Step 2: Convert to fraction form
    584.48/806.56 = 322.48/x
  3. Step 3: Cross multiply
    584.48x = 806.56 × 322.48
  4. Step 4: Simplify right side
    584.48x = 260,099.47
  5. Step 5: Solve for x
    x = 260,099.47/584.48
  6. Step 6: Final answer
    x = 445.01

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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.