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Finding the Fourth Proportional to 668.52, 921.63 and 502.44

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Solution

The fourth proportional to 668.52, 921.63 and 502.44 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.52 : 921.63 = 502.44 : x
  2. Step 2: Convert to fraction form
    668.52/921.63 = 502.44/x
  3. Step 3: Cross multiply
    668.52x = 921.63 × 502.44
  4. Step 4: Simplify right side
    668.52x = 463,059.38
  5. Step 5: Solve for x
    x = 463,059.38/668.52
  6. Step 6: Final answer
    x = 692.66

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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.