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Finding the Fourth Proportional to 602.45, 831.25 and 353.80

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Solution

The fourth proportional to 602.45, 831.25 and 353.80 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.45 : 831.25 = 353.80 : x
  2. Step 2: Convert to fraction form
    602.45/831.25 = 353.80/x
  3. Step 3: Cross multiply
    602.45x = 831.25 × 353.80
  4. Step 4: Simplify right side
    602.45x = 294,096.25
  5. Step 5: Solve for x
    x = 294,096.25/602.45
  6. Step 6: Final answer
    x = 488.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.