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Finding the Fourth Proportional to 500.93, 689.82 and 427.22

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Solution

The fourth proportional to 500.93, 689.82 and 427.22 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.93 : 689.82 = 427.22 : x
  2. Step 2: Convert to fraction form
    500.93/689.82 = 427.22/x
  3. Step 3: Cross multiply
    500.93x = 689.82 × 427.22
  4. Step 4: Simplify right side
    500.93x = 294,704.90
  5. Step 5: Solve for x
    x = 294,704.90/500.93
  6. Step 6: Final answer
    x = 588.32

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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.