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Finding the Fourth Proportional to 585.06, 807.39 and 323.07

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Solution

The fourth proportional to 585.06, 807.39 and 323.07 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 807.39 = 323.07 : x
  2. Step 2: Convert to fraction form
    585.06/807.39 = 323.07/x
  3. Step 3: Cross multiply
    585.06x = 807.39 × 323.07
  4. Step 4: Simplify right side
    585.06x = 260,843.49
  5. Step 5: Solve for x
    x = 260,843.49/585.06
  6. Step 6: Final answer
    x = 445.84

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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.