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Finding the Fourth Proportional to 602.82, 903.96 and 294.66

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Solution

The fourth proportional to 602.82, 903.96 and 294.66 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 903.96 = 294.66 : x
  2. Step 2: Convert to fraction form
    602.82/903.96 = 294.66/x
  3. Step 3: Cross multiply
    602.82x = 903.96 × 294.66
  4. Step 4: Simplify right side
    602.82x = 266,360.85
  5. Step 5: Solve for x
    x = 266,360.85/602.82
  6. Step 6: Final answer
    x = 441.86

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Why These Related Problems?

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