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Finding the Fourth Proportional to 654.86, 903.51 and 406.19

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Solution

The fourth proportional to 654.86, 903.51 and 406.19 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 903.51 = 406.19 : x
  2. Step 2: Convert to fraction form
    654.86/903.51 = 406.19/x
  3. Step 3: Cross multiply
    654.86x = 903.51 × 406.19
  4. Step 4: Simplify right side
    654.86x = 366,992.21
  5. Step 5: Solve for x
    x = 366,992.21/654.86
  6. Step 6: Final answer
    x = 560.42

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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.