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Finding the Fourth Proportional to 613.88, 846.98 and 427.16

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Solution

The fourth proportional to 613.88, 846.98 and 427.16 is: 589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.88 : 846.98 = 427.16 : x
  2. Step 2: Convert to fraction form
    613.88/846.98 = 427.16/x
  3. Step 3: Cross multiply
    613.88x = 846.98 × 427.16
  4. Step 4: Simplify right side
    613.88x = 361,795.98
  5. Step 5: Solve for x
    x = 361,795.98/613.88
  6. Step 6: Final answer
    x = 589.36

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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.