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Finding the Fourth Proportional to 602.93, 903.78 and 237.22

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Solution

The fourth proportional to 602.93, 903.78 and 237.22 is: 355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.93 : 903.78 = 237.22 : x
  2. Step 2: Convert to fraction form
    602.93/903.78 = 237.22/x
  3. Step 3: Cross multiply
    602.93x = 903.78 × 237.22
  4. Step 4: Simplify right side
    602.93x = 214,394.69
  5. Step 5: Solve for x
    x = 214,394.69/602.93
  6. Step 6: Final answer
    x = 355.59

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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.