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Finding the Fourth Proportional to 602.80, 831.87 and 354.19

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Solution

The fourth proportional to 602.80, 831.87 and 354.19 is: 488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 831.87 = 354.19 : x
  2. Step 2: Convert to fraction form
    602.80/831.87 = 354.19/x
  3. Step 3: Cross multiply
    602.80x = 831.87 × 354.19
  4. Step 4: Simplify right side
    602.80x = 294,640.04
  5. Step 5: Solve for x
    x = 294,640.04/602.80
  6. Step 6: Final answer
    x = 488.79

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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.