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Finding the Fourth Proportional to 582.90, 804.44 and 334.30

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Solution

The fourth proportional to 582.90, 804.44 and 334.30 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 804.44 = 334.30 : x
  2. Step 2: Convert to fraction form
    582.90/804.44 = 334.30/x
  3. Step 3: Cross multiply
    582.90x = 804.44 × 334.30
  4. Step 4: Simplify right side
    582.90x = 268,924.29
  5. Step 5: Solve for x
    x = 268,924.29/582.90
  6. Step 6: Final answer
    x = 461.36

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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.