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Finding the Fourth Proportional to 632.00, 943.22 and 590.96

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Solution

The fourth proportional to 632.00, 943.22 and 590.96 is: 881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.00 : 943.22 = 590.96 : x
  2. Step 2: Convert to fraction form
    632.00/943.22 = 590.96/x
  3. Step 3: Cross multiply
    632.00x = 943.22 × 590.96
  4. Step 4: Simplify right side
    632.00x = 557,399.84
  5. Step 5: Solve for x
    x = 557,399.84/632.00
  6. Step 6: Final answer
    x = 881.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.