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Finding the Fourth Proportional to 672.67, 928.31 and 410.50

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Solution

The fourth proportional to 672.67, 928.31 and 410.50 is: 566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.67 : 928.31 = 410.50 : x
  2. Step 2: Convert to fraction form
    672.67/928.31 = 410.50/x
  3. Step 3: Cross multiply
    672.67x = 928.31 × 410.50
  4. Step 4: Simplify right side
    672.67x = 381,071.26
  5. Step 5: Solve for x
    x = 381,071.26/672.67
  6. Step 6: Final answer
    x = 566.51

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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.