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Finding the Fourth Proportional to 582.68, 804.11 and 334.01

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Solution

The fourth proportional to 582.68, 804.11 and 334.01 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 804.11 = 334.01 : x
  2. Step 2: Convert to fraction form
    582.68/804.11 = 334.01/x
  3. Step 3: Cross multiply
    582.68x = 804.11 × 334.01
  4. Step 4: Simplify right side
    582.68x = 268,575.09
  5. Step 5: Solve for x
    x = 268,575.09/582.68
  6. Step 6: Final answer
    x = 460.93

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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.