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Finding the Fourth Proportional to 576.64, 794.72 and 478.40

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Solution

The fourth proportional to 576.64, 794.72 and 478.40 is: 659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 794.72 = 478.40 : x
  2. Step 2: Convert to fraction form
    576.64/794.72 = 478.40/x
  3. Step 3: Cross multiply
    576.64x = 794.72 × 478.40
  4. Step 4: Simplify right side
    576.64x = 380,194.05
  5. Step 5: Solve for x
    x = 380,194.05/576.64
  6. Step 6: Final answer
    x = 659.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.