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Finding the Fourth Proportional to 602.82, 903.92 and 294.70

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Solution

The fourth proportional to 602.82, 903.92 and 294.70 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 903.92 = 294.70 : x
  2. Step 2: Convert to fraction form
    602.82/903.92 = 294.70/x
  3. Step 3: Cross multiply
    602.82x = 903.92 × 294.70
  4. Step 4: Simplify right side
    602.82x = 266,385.22
  5. Step 5: Solve for x
    x = 266,385.22/602.82
  6. Step 6: Final answer
    x = 441.90

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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.