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Finding the Fourth Proportional to 602.98, 831.62 and 393.19

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Solution

The fourth proportional to 602.98, 831.62 and 393.19 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.98 : 831.62 = 393.19 : x
  2. Step 2: Convert to fraction form
    602.98/831.62 = 393.19/x
  3. Step 3: Cross multiply
    602.98x = 831.62 × 393.19
  4. Step 4: Simplify right side
    602.98x = 326,983.57
  5. Step 5: Solve for x
    x = 326,983.57/602.98
  6. Step 6: Final answer
    x = 542.28

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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.