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Finding the Fourth Proportional to 602.80, 831.85 and 354.24

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Solution

The fourth proportional to 602.80, 831.85 and 354.24 is: 488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 831.85 = 354.24 : x
  2. Step 2: Convert to fraction form
    602.80/831.85 = 354.24/x
  3. Step 3: Cross multiply
    602.80x = 831.85 × 354.24
  4. Step 4: Simplify right side
    602.80x = 294,673.66
  5. Step 5: Solve for x
    x = 294,673.66/602.80
  6. Step 6: Final answer
    x = 488.84

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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.