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Finding the Fourth Proportional to 497.76, 686.16 and 427.68

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Solution

The fourth proportional to 497.76, 686.16 and 427.68 is: 589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 686.16 = 427.68 : x
  2. Step 2: Convert to fraction form
    497.76/686.16 = 427.68/x
  3. Step 3: Cross multiply
    497.76x = 686.16 × 427.68
  4. Step 4: Simplify right side
    497.76x = 293,456.91
  5. Step 5: Solve for x
    x = 293,456.91/497.76
  6. Step 6: Final answer
    x = 589.56

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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.