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Finding the Fourth Proportional to 602.44, 831.90 and 463.93

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Solution

The fourth proportional to 602.44, 831.90 and 463.93 is: 640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 831.90 = 463.93 : x
  2. Step 2: Convert to fraction form
    602.44/831.90 = 463.93/x
  3. Step 3: Cross multiply
    602.44x = 831.90 × 463.93
  4. Step 4: Simplify right side
    602.44x = 385,943.37
  5. Step 5: Solve for x
    x = 385,943.37/602.44
  6. Step 6: Final answer
    x = 640.63

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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.