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Finding the Fourth Proportional to 656.92, 985.60 and 438.42

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Solution

The fourth proportional to 656.92, 985.60 and 438.42 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 985.60 = 438.42 : x
  2. Step 2: Convert to fraction form
    656.92/985.60 = 438.42/x
  3. Step 3: Cross multiply
    656.92x = 985.60 × 438.42
  4. Step 4: Simplify right side
    656.92x = 432,106.75
  5. Step 5: Solve for x
    x = 432,106.75/656.92
  6. Step 6: Final answer
    x = 657.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.