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Finding the Fourth Proportional to 585.30, 807.78 and 323.34

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Solution

The fourth proportional to 585.30, 807.78 and 323.34 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 807.78 = 323.34 : x
  2. Step 2: Convert to fraction form
    585.30/807.78 = 323.34/x
  3. Step 3: Cross multiply
    585.30x = 807.78 × 323.34
  4. Step 4: Simplify right side
    585.30x = 261,187.59
  5. Step 5: Solve for x
    x = 261,187.59/585.30
  6. Step 6: Final answer
    x = 446.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.