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Finding the Fourth Proportional to 497.98, 686.55 and 427.96

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Solution

The fourth proportional to 497.98, 686.55 and 427.96 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 686.55 = 427.96 : x
  2. Step 2: Convert to fraction form
    497.98/686.55 = 427.96/x
  3. Step 3: Cross multiply
    497.98x = 686.55 × 427.96
  4. Step 4: Simplify right side
    497.98x = 293,815.94
  5. Step 5: Solve for x
    x = 293,815.94/497.98
  6. Step 6: Final answer
    x = 590.02

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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.