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Finding the Fourth Proportional to 516.64, 776.88 and 476.32

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Solution

The fourth proportional to 516.64, 776.88 and 476.32 is: 716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 776.88 = 476.32 : x
  2. Step 2: Convert to fraction form
    516.64/776.88 = 476.32/x
  3. Step 3: Cross multiply
    516.64x = 776.88 × 476.32
  4. Step 4: Simplify right side
    516.64x = 370,043.48
  5. Step 5: Solve for x
    x = 370,043.48/516.64
  6. Step 6: Final answer
    x = 716.25

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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.