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Finding the Fourth Proportional to 646.96, 891.10 and 497.29

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Solution

The fourth proportional to 646.96, 891.10 and 497.29 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 891.10 = 497.29 : x
  2. Step 2: Convert to fraction form
    646.96/891.10 = 497.29/x
  3. Step 3: Cross multiply
    646.96x = 891.10 × 497.29
  4. Step 4: Simplify right side
    646.96x = 443,138.94
  5. Step 5: Solve for x
    x = 443,138.94/646.96
  6. Step 6: Final answer
    x = 684.96

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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.