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Finding the Fourth Proportional to 668.30, 922.32 and 503.33

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Solution

The fourth proportional to 668.30, 922.32 and 503.33 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.30 : 922.32 = 503.33 : x
  2. Step 2: Convert to fraction form
    668.30/922.32 = 503.33/x
  3. Step 3: Cross multiply
    668.30x = 922.32 × 503.33
  4. Step 4: Simplify right side
    668.30x = 464,226.71
  5. Step 5: Solve for x
    x = 464,226.71/668.30
  6. Step 6: Final answer
    x = 694.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.