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Finding the Fourth Proportional to 516.58, 776.52 and 480.94

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Solution

The fourth proportional to 516.58, 776.52 and 480.94 is: 722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 776.52 = 480.94 : x
  2. Step 2: Convert to fraction form
    516.58/776.52 = 480.94/x
  3. Step 3: Cross multiply
    516.58x = 776.52 × 480.94
  4. Step 4: Simplify right side
    516.58x = 373,459.53
  5. Step 5: Solve for x
    x = 373,459.53/516.58
  6. Step 6: Final answer
    x = 722.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.