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Finding the Fourth Proportional to 418.60, 577.86 and 356.20

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Solution

The fourth proportional to 418.60, 577.86 and 356.20 is: 491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 577.86 = 356.20 : x
  2. Step 2: Convert to fraction form
    418.60/577.86 = 356.20/x
  3. Step 3: Cross multiply
    418.60x = 577.86 × 356.20
  4. Step 4: Simplify right side
    418.60x = 205,833.73
  5. Step 5: Solve for x
    x = 205,833.73/418.60
  6. Step 6: Final answer
    x = 491.72

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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.