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Finding the Fourth Proportional to 682.84, 941.16 and 458.37

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Solution

The fourth proportional to 682.84, 941.16 and 458.37 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.84 : 941.16 = 458.37 : x
  2. Step 2: Convert to fraction form
    682.84/941.16 = 458.37/x
  3. Step 3: Cross multiply
    682.84x = 941.16 × 458.37
  4. Step 4: Simplify right side
    682.84x = 431,397.79
  5. Step 5: Solve for x
    x = 431,397.79/682.84
  6. Step 6: Final answer
    x = 631.77

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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.