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Finding the Fourth Proportional to 602.81, 831.88 and 354.14

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Solution

The fourth proportional to 602.81, 831.88 and 354.14 is: 488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.81 : 831.88 = 354.14 : x
  2. Step 2: Convert to fraction form
    602.81/831.88 = 354.14/x
  3. Step 3: Cross multiply
    602.81x = 831.88 × 354.14
  4. Step 4: Simplify right side
    602.81x = 294,601.39
  5. Step 5: Solve for x
    x = 294,601.39/602.81
  6. Step 6: Final answer
    x = 488.71

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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.