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Finding the Fourth Proportional to 618.83, 854.91 and 406.64

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Solution

The fourth proportional to 618.83, 854.91 and 406.64 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.83 : 854.91 = 406.64 : x
  2. Step 2: Convert to fraction form
    618.83/854.91 = 406.64/x
  3. Step 3: Cross multiply
    618.83x = 854.91 × 406.64
  4. Step 4: Simplify right side
    618.83x = 347,640.60
  5. Step 5: Solve for x
    x = 347,640.60/618.83
  6. Step 6: Final answer
    x = 561.77

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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.