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Finding the Fourth Proportional to 654.92, 904.49 and 406.83

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Solution

The fourth proportional to 654.92, 904.49 and 406.83 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 904.49 = 406.83 : x
  2. Step 2: Convert to fraction form
    654.92/904.49 = 406.83/x
  3. Step 3: Cross multiply
    654.92x = 904.49 × 406.83
  4. Step 4: Simplify right side
    654.92x = 367,972.42
  5. Step 5: Solve for x
    x = 367,972.42/654.92
  6. Step 6: Final answer
    x = 561.86

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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.