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Finding the Fourth Proportional to 668.48, 922.24 and 406.58

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Solution

The fourth proportional to 668.48, 922.24 and 406.58 is: 560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 922.24 = 406.58 : x
  2. Step 2: Convert to fraction form
    668.48/922.24 = 406.58/x
  3. Step 3: Cross multiply
    668.48x = 922.24 × 406.58
  4. Step 4: Simplify right side
    668.48x = 374,964.34
  5. Step 5: Solve for x
    x = 374,964.34/668.48
  6. Step 6: Final answer
    x = 560.92

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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.