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Finding the Fourth Proportional to 657.18, 905.91 and 446.94

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Solution

The fourth proportional to 657.18, 905.91 and 446.94 is: 616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 905.91 = 446.94 : x
  2. Step 2: Convert to fraction form
    657.18/905.91 = 446.94/x
  3. Step 3: Cross multiply
    657.18x = 905.91 × 446.94
  4. Step 4: Simplify right side
    657.18x = 404,887.42
  5. Step 5: Solve for x
    x = 404,887.42/657.18
  6. Step 6: Final answer
    x = 616.10

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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.