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Finding the Fourth Proportional to 582.75, 804.18 and 334.11

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Solution

The fourth proportional to 582.75, 804.18 and 334.11 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 804.18 = 334.11 : x
  2. Step 2: Convert to fraction form
    582.75/804.18 = 334.11/x
  3. Step 3: Cross multiply
    582.75x = 804.18 × 334.11
  4. Step 4: Simplify right side
    582.75x = 268,684.58
  5. Step 5: Solve for x
    x = 268,684.58/582.75
  6. Step 6: Final answer
    x = 461.06

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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.