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Finding the Fourth Proportional to 585.49, 807.99 and 323.53

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Solution

The fourth proportional to 585.49, 807.99 and 323.53 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 807.99 = 323.53 : x
  2. Step 2: Convert to fraction form
    585.49/807.99 = 323.53/x
  3. Step 3: Cross multiply
    585.49x = 807.99 × 323.53
  4. Step 4: Simplify right side
    585.49x = 261,409.00
  5. Step 5: Solve for x
    x = 261,409.00/585.49
  6. Step 6: Final answer
    x = 446.48

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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.