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Finding the Fourth Proportional to 602.26, 831.54 and 471.04

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Solution

The fourth proportional to 602.26, 831.54 and 471.04 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 831.54 = 471.04 : x
  2. Step 2: Convert to fraction form
    602.26/831.54 = 471.04/x
  3. Step 3: Cross multiply
    602.26x = 831.54 × 471.04
  4. Step 4: Simplify right side
    602.26x = 391,688.60
  5. Step 5: Solve for x
    x = 391,688.60/602.26
  6. Step 6: Final answer
    x = 650.36

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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.