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Finding the Fourth Proportional to 646.89, 891.96 and 469.50

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Solution

The fourth proportional to 646.89, 891.96 and 469.50 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 891.96 = 469.50 : x
  2. Step 2: Convert to fraction form
    646.89/891.96 = 469.50/x
  3. Step 3: Cross multiply
    646.89x = 891.96 × 469.50
  4. Step 4: Simplify right side
    646.89x = 418,775.22
  5. Step 5: Solve for x
    x = 418,775.22/646.89
  6. Step 6: Final answer
    x = 647.37

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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.