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Finding the Fourth Proportional to 602.15, 830.42 and 380.71

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Solution

The fourth proportional to 602.15, 830.42 and 380.71 is: 525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.15 : 830.42 = 380.71 : x
  2. Step 2: Convert to fraction form
    602.15/830.42 = 380.71/x
  3. Step 3: Cross multiply
    602.15x = 830.42 × 380.71
  4. Step 4: Simplify right side
    602.15x = 316,149.20
  5. Step 5: Solve for x
    x = 316,149.20/602.15
  6. Step 6: Final answer
    x = 525.03

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