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Finding the Fourth Proportional to 497.29, 685.76 and 427.60

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Solution

The fourth proportional to 497.29, 685.76 and 427.60 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 685.76 = 427.60 : x
  2. Step 2: Convert to fraction form
    497.29/685.76 = 427.60/x
  3. Step 3: Cross multiply
    497.29x = 685.76 × 427.60
  4. Step 4: Simplify right side
    497.29x = 293,230.98
  5. Step 5: Solve for x
    x = 293,230.98/497.29
  6. Step 6: Final answer
    x = 589.66

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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.