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Finding the Fourth Proportional to 668.78, 922.36 and 502.70

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Solution

The fourth proportional to 668.78, 922.36 and 502.70 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.78 : 922.36 = 502.70 : x
  2. Step 2: Convert to fraction form
    668.78/922.36 = 502.70/x
  3. Step 3: Cross multiply
    668.78x = 922.36 × 502.70
  4. Step 4: Simplify right side
    668.78x = 463,671.42
  5. Step 5: Solve for x
    x = 463,671.42/668.78
  6. Step 6: Final answer
    x = 693.31

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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.