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Finding the Fourth Proportional to 418.10, 577.14 and 287.69

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Solution

The fourth proportional to 418.10, 577.14 and 287.69 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 577.14 = 287.69 : x
  2. Step 2: Convert to fraction form
    418.10/577.14 = 287.69/x
  3. Step 3: Cross multiply
    418.10x = 577.14 × 287.69
  4. Step 4: Simplify right side
    418.10x = 166,037.41
  5. Step 5: Solve for x
    x = 166,037.41/418.10
  6. Step 6: Final answer
    x = 397.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.