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Finding the Fourth Proportional to 656.61, 906.12 and 357.84

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Solution

The fourth proportional to 656.61, 906.12 and 357.84 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.61 : 906.12 = 357.84 : x
  2. Step 2: Convert to fraction form
    656.61/906.12 = 357.84/x
  3. Step 3: Cross multiply
    656.61x = 906.12 × 357.84
  4. Step 4: Simplify right side
    656.61x = 324,245.98
  5. Step 5: Solve for x
    x = 324,245.98/656.61
  6. Step 6: Final answer
    x = 493.82

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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.