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Finding the Fourth Proportional to 602.26, 830.86 and 380.82

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Solution

The fourth proportional to 602.26, 830.86 and 380.82 is: 525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 830.86 = 380.82 : x
  2. Step 2: Convert to fraction form
    602.26/830.86 = 380.82/x
  3. Step 3: Cross multiply
    602.26x = 830.86 × 380.82
  4. Step 4: Simplify right side
    602.26x = 316,408.11
  5. Step 5: Solve for x
    x = 316,408.11/602.26
  6. Step 6: Final answer
    x = 525.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.