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Finding the Fourth Proportional to 656.76, 906.36 and 362.04

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Solution

The fourth proportional to 656.76, 906.36 and 362.04 is: 499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 906.36 = 362.04 : x
  2. Step 2: Convert to fraction form
    656.76/906.36 = 362.04/x
  3. Step 3: Cross multiply
    656.76x = 906.36 × 362.04
  4. Step 4: Simplify right side
    656.76x = 328,138.57
  5. Step 5: Solve for x
    x = 328,138.57/656.76
  6. Step 6: Final answer
    x = 499.63

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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.