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Finding the Fourth Proportional to 602.32, 830.39 and 540.81

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Solution

The fourth proportional to 602.32, 830.39 and 540.81 is: 745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 830.39 = 540.81 : x
  2. Step 2: Convert to fraction form
    602.32/830.39 = 540.81/x
  3. Step 3: Cross multiply
    602.32x = 830.39 × 540.81
  4. Step 4: Simplify right side
    602.32x = 449,083.22
  5. Step 5: Solve for x
    x = 449,083.22/602.32
  6. Step 6: Final answer
    x = 745.59

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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.