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Finding the Fourth Proportional to 602.31, 830.94 and 381.18

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Solution

The fourth proportional to 602.31, 830.94 and 381.18 is: 525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 830.94 = 381.18 : x
  2. Step 2: Convert to fraction form
    602.31/830.94 = 381.18/x
  3. Step 3: Cross multiply
    602.31x = 830.94 × 381.18
  4. Step 4: Simplify right side
    602.31x = 316,737.71
  5. Step 5: Solve for x
    x = 316,737.71/602.31
  6. Step 6: Final answer
    x = 525.87

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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.