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Finding the Fourth Proportional to 611.03, 914.72 and 414.90

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Solution

The fourth proportional to 611.03, 914.72 and 414.90 is: 621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.03 : 914.72 = 414.90 : x
  2. Step 2: Convert to fraction form
    611.03/914.72 = 414.90/x
  3. Step 3: Cross multiply
    611.03x = 914.72 × 414.90
  4. Step 4: Simplify right side
    611.03x = 379,515.25
  5. Step 5: Solve for x
    x = 379,515.25/611.03
  6. Step 6: Final answer
    x = 621.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.