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Finding the Fourth Proportional to 656.42, 905.78 and 376.64

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Solution

The fourth proportional to 656.42, 905.78 and 376.64 is: 519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 905.78 = 376.64 : x
  2. Step 2: Convert to fraction form
    656.42/905.78 = 376.64/x
  3. Step 3: Cross multiply
    656.42x = 905.78 × 376.64
  4. Step 4: Simplify right side
    656.42x = 341,155.24
  5. Step 5: Solve for x
    x = 341,155.24/656.42
  6. Step 6: Final answer
    x = 519.72

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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.