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Finding the Fourth Proportional to 657.01, 906.66 and 362.27

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Solution

The fourth proportional to 657.01, 906.66 and 362.27 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 906.66 = 362.27 : x
  2. Step 2: Convert to fraction form
    657.01/906.66 = 362.27/x
  3. Step 3: Cross multiply
    657.01x = 906.66 × 362.27
  4. Step 4: Simplify right side
    657.01x = 328,457.98
  5. Step 5: Solve for x
    x = 328,457.98/657.01
  6. Step 6: Final answer
    x = 499.93

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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.