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Finding the Fourth Proportional to 497.60, 686.56 and 419.24

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Solution

The fourth proportional to 497.60, 686.56 and 419.24 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 686.56 = 419.24 : x
  2. Step 2: Convert to fraction form
    497.60/686.56 = 419.24/x
  3. Step 3: Cross multiply
    497.60x = 686.56 × 419.24
  4. Step 4: Simplify right side
    497.60x = 287,833.41
  5. Step 5: Solve for x
    x = 287,833.41/497.60
  6. Step 6: Final answer
    x = 578.44

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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.