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Finding the Fourth Proportional to 657.11, 906.83 and 362.40

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Solution

The fourth proportional to 657.11, 906.83 and 362.40 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.11 : 906.83 = 362.40 : x
  2. Step 2: Convert to fraction form
    657.11/906.83 = 362.40/x
  3. Step 3: Cross multiply
    657.11x = 906.83 × 362.40
  4. Step 4: Simplify right side
    657.11x = 328,635.19
  5. Step 5: Solve for x
    x = 328,635.19/657.11
  6. Step 6: Final answer
    x = 500.12

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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.