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Finding the Fourth Proportional to 440.85, 608.07 and 357.96

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Solution

The fourth proportional to 440.85, 608.07 and 357.96 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.85 : 608.07 = 357.96 : x
  2. Step 2: Convert to fraction form
    440.85/608.07 = 357.96/x
  3. Step 3: Cross multiply
    440.85x = 608.07 × 357.96
  4. Step 4: Simplify right side
    440.85x = 217,664.74
  5. Step 5: Solve for x
    x = 217,664.74/440.85
  6. Step 6: Final answer
    x = 493.74

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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.