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Finding the Fourth Proportional to 646.50, 891.35 and 528.34

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Solution

The fourth proportional to 646.50, 891.35 and 528.34 is: 728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.50 : 891.35 = 528.34 : x
  2. Step 2: Convert to fraction form
    646.50/891.35 = 528.34/x
  3. Step 3: Cross multiply
    646.50x = 891.35 × 528.34
  4. Step 4: Simplify right side
    646.50x = 470,930.99
  5. Step 5: Solve for x
    x = 470,930.99/646.50
  6. Step 6: Final answer
    x = 728.44

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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.