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Finding the Fourth Proportional to 663.50, 914.41 and 538.49

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Solution

The fourth proportional to 663.50, 914.41 and 538.49 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 914.41 = 538.49 : x
  2. Step 2: Convert to fraction form
    663.50/914.41 = 538.49/x
  3. Step 3: Cross multiply
    663.50x = 914.41 × 538.49
  4. Step 4: Simplify right side
    663.50x = 492,400.64
  5. Step 5: Solve for x
    x = 492,400.64/663.50
  6. Step 6: Final answer
    x = 742.13

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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.