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Finding the Fourth Proportional to 661.96, 912.86 and 396.35

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Solution

The fourth proportional to 661.96, 912.86 and 396.35 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.96 : 912.86 = 396.35 : x
  2. Step 2: Convert to fraction form
    661.96/912.86 = 396.35/x
  3. Step 3: Cross multiply
    661.96x = 912.86 × 396.35
  4. Step 4: Simplify right side
    661.96x = 361,812.06
  5. Step 5: Solve for x
    x = 361,812.06/661.96
  6. Step 6: Final answer
    x = 546.58

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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.