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Finding the Fourth Proportional to 602.96, 831.60 and 393.12

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Solution

The fourth proportional to 602.96, 831.60 and 393.12 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 831.60 = 393.12 : x
  2. Step 2: Convert to fraction form
    602.96/831.60 = 393.12/x
  3. Step 3: Cross multiply
    602.96x = 831.60 × 393.12
  4. Step 4: Simplify right side
    602.96x = 326,918.59
  5. Step 5: Solve for x
    x = 326,918.59/602.96
  6. Step 6: Final answer
    x = 542.19

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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.