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Finding the Fourth Proportional to 602.71, 831.26 and 378.54

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Solution

The fourth proportional to 602.71, 831.26 and 378.54 is: 522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.71 : 831.26 = 378.54 : x
  2. Step 2: Convert to fraction form
    602.71/831.26 = 378.54/x
  3. Step 3: Cross multiply
    602.71x = 831.26 × 378.54
  4. Step 4: Simplify right side
    602.71x = 314,666.11
  5. Step 5: Solve for x
    x = 314,666.11/602.71
  6. Step 6: Final answer
    x = 522.09

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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.