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Finding the Fourth Proportional to 668.50, 922.53 and 406.47

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Solution

The fourth proportional to 668.50, 922.53 and 406.47 is: 560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.50 : 922.53 = 406.47 : x
  2. Step 2: Convert to fraction form
    668.50/922.53 = 406.47/x
  3. Step 3: Cross multiply
    668.50x = 922.53 × 406.47
  4. Step 4: Simplify right side
    668.50x = 374,976.16
  5. Step 5: Solve for x
    x = 374,976.16/668.50
  6. Step 6: Final answer
    x = 560.92

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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.