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Finding the Fourth Proportional to 656.91, 906.54 and 362.19

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Solution

The fourth proportional to 656.91, 906.54 and 362.19 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 906.54 = 362.19 : x
  2. Step 2: Convert to fraction form
    656.91/906.54 = 362.19/x
  3. Step 3: Cross multiply
    656.91x = 906.54 × 362.19
  4. Step 4: Simplify right side
    656.91x = 328,338.70
  5. Step 5: Solve for x
    x = 328,338.70/656.91
  6. Step 6: Final answer
    x = 499.82

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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.