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Finding the Fourth Proportional to 519.42, 716.46 and 320.16

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Solution

The fourth proportional to 519.42, 716.46 and 320.16 is: 441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.42 : 716.46 = 320.16 : x
  2. Step 2: Convert to fraction form
    519.42/716.46 = 320.16/x
  3. Step 3: Cross multiply
    519.42x = 716.46 × 320.16
  4. Step 4: Simplify right side
    519.42x = 229,381.83
  5. Step 5: Solve for x
    x = 229,381.83/519.42
  6. Step 6: Final answer
    x = 441.61

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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.