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Finding the Fourth Proportional to 576.64, 794.56 and 392.32

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Solution

The fourth proportional to 576.64, 794.56 and 392.32 is: 540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 794.56 = 392.32 : x
  2. Step 2: Convert to fraction form
    576.64/794.56 = 392.32/x
  3. Step 3: Cross multiply
    576.64x = 794.56 × 392.32
  4. Step 4: Simplify right side
    576.64x = 311,721.78
  5. Step 5: Solve for x
    x = 311,721.78/576.64
  6. Step 6: Final answer
    x = 540.58

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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.