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Finding the Fourth Proportional to 668.79, 922.59 and 406.76

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Solution

The fourth proportional to 668.79, 922.59 and 406.76 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 922.59 = 406.76 : x
  2. Step 2: Convert to fraction form
    668.79/922.59 = 406.76/x
  3. Step 3: Cross multiply
    668.79x = 922.59 × 406.76
  4. Step 4: Simplify right side
    668.79x = 375,268.10
  5. Step 5: Solve for x
    x = 375,268.10/668.79
  6. Step 6: Final answer
    x = 561.11

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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.