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Finding the Fourth Proportional to 668.93, 922.25 and 537.71

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Solution

The fourth proportional to 668.93, 922.25 and 537.71 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.93 : 922.25 = 537.71 : x
  2. Step 2: Convert to fraction form
    668.93/922.25 = 537.71/x
  3. Step 3: Cross multiply
    668.93x = 922.25 × 537.71
  4. Step 4: Simplify right side
    668.93x = 495,899.78
  5. Step 5: Solve for x
    x = 495,899.78/668.93
  6. Step 6: Final answer
    x = 741.34

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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.