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Finding the Fourth Proportional to 520.73, 718.06 and 334.23

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Solution

The fourth proportional to 520.73, 718.06 and 334.23 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.73 : 718.06 = 334.23 : x
  2. Step 2: Convert to fraction form
    520.73/718.06 = 334.23/x
  3. Step 3: Cross multiply
    520.73x = 718.06 × 334.23
  4. Step 4: Simplify right side
    520.73x = 239,997.19
  5. Step 5: Solve for x
    x = 239,997.19/520.73
  6. Step 6: Final answer
    x = 460.89

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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.