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Finding the Fourth Proportional to 602.91, 903.11 and 438.26

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Solution

The fourth proportional to 602.91, 903.11 and 438.26 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.91 : 903.11 = 438.26 : x
  2. Step 2: Convert to fraction form
    602.91/903.11 = 438.26/x
  3. Step 3: Cross multiply
    602.91x = 903.11 × 438.26
  4. Step 4: Simplify right side
    602.91x = 395,790.28
  5. Step 5: Solve for x
    x = 395,790.28/602.91
  6. Step 6: Final answer
    x = 656.47

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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.