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Finding the Fourth Proportional to 656.16, 905.59 and 600.80

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Solution

The fourth proportional to 656.16, 905.59 and 600.80 is: 829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.59 = 600.80 : x
  2. Step 2: Convert to fraction form
    656.16/905.59 = 600.80/x
  3. Step 3: Cross multiply
    656.16x = 905.59 × 600.80
  4. Step 4: Simplify right side
    656.16x = 544,078.47
  5. Step 5: Solve for x
    x = 544,078.47/656.16
  6. Step 6: Final answer
    x = 829.19

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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.