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Finding the Fourth Proportional to 602.97, 903.06 and 440.25

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Solution

The fourth proportional to 602.97, 903.06 and 440.25 is: 659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 903.06 = 440.25 : x
  2. Step 2: Convert to fraction form
    602.97/903.06 = 440.25/x
  3. Step 3: Cross multiply
    602.97x = 903.06 × 440.25
  4. Step 4: Simplify right side
    602.97x = 397,572.17
  5. Step 5: Solve for x
    x = 397,572.17/602.97
  6. Step 6: Final answer
    x = 659.36

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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.