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Finding the Fourth Proportional to 582.86, 804.14 and 334.01

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Solution

The fourth proportional to 582.86, 804.14 and 334.01 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 804.14 = 334.01 : x
  2. Step 2: Convert to fraction form
    582.86/804.14 = 334.01/x
  3. Step 3: Cross multiply
    582.86x = 804.14 × 334.01
  4. Step 4: Simplify right side
    582.86x = 268,591.73
  5. Step 5: Solve for x
    x = 268,591.73/582.86
  6. Step 6: Final answer
    x = 460.82

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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.