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Finding the Fourth Proportional to 656.79, 906.33 and 362.06

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Solution

The fourth proportional to 656.79, 906.33 and 362.06 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.79 : 906.33 = 362.06 : x
  2. Step 2: Convert to fraction form
    656.79/906.33 = 362.06/x
  3. Step 3: Cross multiply
    656.79x = 906.33 × 362.06
  4. Step 4: Simplify right side
    656.79x = 328,143.35
  5. Step 5: Solve for x
    x = 328,143.35/656.79
  6. Step 6: Final answer
    x = 499.62

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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.