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Finding the Fourth Proportional to 455.19, 679.15 and 414.15

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Solution

The fourth proportional to 455.19, 679.15 and 414.15 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.19 : 679.15 = 414.15 : x
  2. Step 2: Convert to fraction form
    455.19/679.15 = 414.15/x
  3. Step 3: Cross multiply
    455.19x = 679.15 × 414.15
  4. Step 4: Simplify right side
    455.19x = 281,268.94
  5. Step 5: Solve for x
    x = 281,268.94/455.19
  6. Step 6: Final answer
    x = 617.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.