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Finding the Fourth Proportional to 657.23, 905.81 and 499.50

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Solution

The fourth proportional to 657.23, 905.81 and 499.50 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 905.81 = 499.50 : x
  2. Step 2: Convert to fraction form
    657.23/905.81 = 499.50/x
  3. Step 3: Cross multiply
    657.23x = 905.81 × 499.50
  4. Step 4: Simplify right side
    657.23x = 452,449.60
  5. Step 5: Solve for x
    x = 452,449.60/657.23
  6. Step 6: Final answer
    x = 688.42

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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.