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Finding the Fourth Proportional to 655.11, 903.67 and 477.83

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Solution

The fourth proportional to 655.11, 903.67 and 477.83 is: 659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.11 : 903.67 = 477.83 : x
  2. Step 2: Convert to fraction form
    655.11/903.67 = 477.83/x
  3. Step 3: Cross multiply
    655.11x = 903.67 × 477.83
  4. Step 4: Simplify right side
    655.11x = 431,798.25
  5. Step 5: Solve for x
    x = 431,798.25/655.11
  6. Step 6: Final answer
    x = 659.13

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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.