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Finding the Fourth Proportional to 654.73, 903.95 and 406.41

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Solution

The fourth proportional to 654.73, 903.95 and 406.41 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.73 : 903.95 = 406.41 : x
  2. Step 2: Convert to fraction form
    654.73/903.95 = 406.41/x
  3. Step 3: Cross multiply
    654.73x = 903.95 × 406.41
  4. Step 4: Simplify right side
    654.73x = 367,374.32
  5. Step 5: Solve for x
    x = 367,374.32/654.73
  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.