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Finding the Fourth Proportional to 672.64, 928.29 and 410.62

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Solution

The fourth proportional to 672.64, 928.29 and 410.62 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.64 : 928.29 = 410.62 : x
  2. Step 2: Convert to fraction form
    672.64/928.29 = 410.62/x
  3. Step 3: Cross multiply
    672.64x = 928.29 × 410.62
  4. Step 4: Simplify right side
    672.64x = 381,174.44
  5. Step 5: Solve for x
    x = 381,174.44/672.64
  6. Step 6: Final answer
    x = 566.68

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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.