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Finding the Fourth Proportional to 657.38, 907.22 and 362.68

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Solution

The fourth proportional to 657.38, 907.22 and 362.68 is: 500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 907.22 = 362.68 : x
  2. Step 2: Convert to fraction form
    657.38/907.22 = 362.68/x
  3. Step 3: Cross multiply
    657.38x = 907.22 × 362.68
  4. Step 4: Simplify right side
    657.38x = 329,029.19
  5. Step 5: Solve for x
    x = 329,029.19/657.38
  6. Step 6: Final answer
    x = 500.51

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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.