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Finding the Fourth Proportional to 657.06, 906.71 and 362.29

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Solution

The fourth proportional to 657.06, 906.71 and 362.29 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 906.71 = 362.29 : x
  2. Step 2: Convert to fraction form
    657.06/906.71 = 362.29/x
  3. Step 3: Cross multiply
    657.06x = 906.71 × 362.29
  4. Step 4: Simplify right side
    657.06x = 328,487.89
  5. Step 5: Solve for x
    x = 328,487.89/657.06
  6. Step 6: Final answer
    x = 499.94

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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.