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Finding the Fourth Proportional to 602.60, 903.83 and 277.88

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Solution

The fourth proportional to 602.60, 903.83 and 277.88 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 903.83 = 277.88 : x
  2. Step 2: Convert to fraction form
    602.60/903.83 = 277.88/x
  3. Step 3: Cross multiply
    602.60x = 903.83 × 277.88
  4. Step 4: Simplify right side
    602.60x = 251,150.37
  5. Step 5: Solve for x
    x = 251,150.37/602.60
  6. Step 6: Final answer
    x = 416.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.