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Finding the Fourth Proportional to 657, 906.68 and 362.24

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Solution

The fourth proportional to 657, 906.68 and 362.24 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 906.68 = 362.24 : x
  2. Step 2: Convert to fraction form
    657/906.68 = 362.24/x
  3. Step 3: Cross multiply
    657x = 906.68 × 362.24
  4. Step 4: Simplify right side
    657x = 328,435.76
  5. Step 5: Solve for x
    x = 328,435.76/657
  6. Step 6: Final answer
    x = 499.90

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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.