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Finding the Fourth Proportional to 602.66, 831.38 and 381.94

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Solution

The fourth proportional to 602.66, 831.38 and 381.94 is: 526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 831.38 = 381.94 : x
  2. Step 2: Convert to fraction form
    602.66/831.38 = 381.94/x
  3. Step 3: Cross multiply
    602.66x = 831.38 × 381.94
  4. Step 4: Simplify right side
    602.66x = 317,537.28
  5. Step 5: Solve for x
    x = 317,537.28/602.66
  6. Step 6: Final answer
    x = 526.89

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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.