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Finding the Fourth Proportional to 655.13, 903.77 and 477.83

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Solution

The fourth proportional to 655.13, 903.77 and 477.83 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 903.77 = 477.83 : x
  2. Step 2: Convert to fraction form
    655.13/903.77 = 477.83/x
  3. Step 3: Cross multiply
    655.13x = 903.77 × 477.83
  4. Step 4: Simplify right side
    655.13x = 431,841.51
  5. Step 5: Solve for x
    x = 431,841.51/655.13
  6. Step 6: Final answer
    x = 659.17

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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.