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Finding the Fourth Proportional to 656.79, 906.26 and 377.06

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Solution

The fourth proportional to 656.79, 906.26 and 377.06 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.79 : 906.26 = 377.06 : x
  2. Step 2: Convert to fraction form
    656.79/906.26 = 377.06/x
  3. Step 3: Cross multiply
    656.79x = 906.26 × 377.06
  4. Step 4: Simplify right side
    656.79x = 341,707.98
  5. Step 5: Solve for x
    x = 341,707.98/656.79
  6. Step 6: Final answer
    x = 520.27

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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.