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Finding the Fourth Proportional to 520.17, 716.20 and 441.32

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Solution

The fourth proportional to 520.17, 716.20 and 441.32 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 716.20 = 441.32 : x
  2. Step 2: Convert to fraction form
    520.17/716.20 = 441.32/x
  3. Step 3: Cross multiply
    520.17x = 716.20 × 441.32
  4. Step 4: Simplify right side
    520.17x = 316,074.07
  5. Step 5: Solve for x
    x = 316,074.07/520.17
  6. Step 6: Final answer
    x = 607.64

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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.