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Finding the Fourth Proportional to 643.06, 887.16 and 477.68

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Solution

The fourth proportional to 643.06, 887.16 and 477.68 is: 659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.06 : 887.16 = 477.68 : x
  2. Step 2: Convert to fraction form
    643.06/887.16 = 477.68/x
  3. Step 3: Cross multiply
    643.06x = 887.16 × 477.68
  4. Step 4: Simplify right side
    643.06x = 423,778.59
  5. Step 5: Solve for x
    x = 423,778.59/643.06
  6. Step 6: Final answer
    x = 659.00

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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.