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Finding the Fourth Proportional to 601.92, 831.38 and 435.87

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Solution

The fourth proportional to 601.92, 831.38 and 435.87 is: 602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 831.38 = 435.87 : x
  2. Step 2: Convert to fraction form
    601.92/831.38 = 435.87/x
  3. Step 3: Cross multiply
    601.92x = 831.38 × 435.87
  4. Step 4: Simplify right side
    601.92x = 362,369.94
  5. Step 5: Solve for x
    x = 362,369.94/601.92
  6. Step 6: Final answer
    x = 602.03

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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.