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Finding the Fourth Proportional to 611.16, 914.91 and 416.36

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Solution

The fourth proportional to 611.16, 914.91 and 416.36 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 914.91 = 416.36 : x
  2. Step 2: Convert to fraction form
    611.16/914.91 = 416.36/x
  3. Step 3: Cross multiply
    611.16x = 914.91 × 416.36
  4. Step 4: Simplify right side
    611.16x = 380,927.35
  5. Step 5: Solve for x
    x = 380,927.35/611.16
  6. Step 6: Final answer
    x = 623.29

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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.