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Finding the Fourth Proportional to 576.32, 863.06 and 429.72

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Solution

The fourth proportional to 576.32, 863.06 and 429.72 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.32 : 863.06 = 429.72 : x
  2. Step 2: Convert to fraction form
    576.32/863.06 = 429.72/x
  3. Step 3: Cross multiply
    576.32x = 863.06 × 429.72
  4. Step 4: Simplify right side
    576.32x = 370,874.14
  5. Step 5: Solve for x
    x = 370,874.14/576.32
  6. Step 6: Final answer
    x = 643.52

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Why These Related Problems?

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