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Finding the Fourth Proportional to 497.36, 686.92 and 418.96

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Solution

The fourth proportional to 497.36, 686.92 and 418.96 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.36 : 686.92 = 418.96 : x
  2. Step 2: Convert to fraction form
    497.36/686.92 = 418.96/x
  3. Step 3: Cross multiply
    497.36x = 686.92 × 418.96
  4. Step 4: Simplify right side
    497.36x = 287,792.00
  5. Step 5: Solve for x
    x = 287,792.00/497.36
  6. Step 6: Final answer
    x = 578.64

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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.