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Finding the Fourth Proportional to 654.60, 903.34 and 355.84

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Solution

The fourth proportional to 654.60, 903.34 and 355.84 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 903.34 = 355.84 : x
  2. Step 2: Convert to fraction form
    654.60/903.34 = 355.84/x
  3. Step 3: Cross multiply
    654.60x = 903.34 × 355.84
  4. Step 4: Simplify right side
    654.60x = 321,442.73
  5. Step 5: Solve for x
    x = 321,442.73/654.60
  6. Step 6: Final answer
    x = 491.05

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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.