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Finding the Fourth Proportional to 440.74, 611.04 and 416.14

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Solution

The fourth proportional to 440.74, 611.04 and 416.14 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 611.04 = 416.14 : x
  2. Step 2: Convert to fraction form
    440.74/611.04 = 416.14/x
  3. Step 3: Cross multiply
    440.74x = 611.04 × 416.14
  4. Step 4: Simplify right side
    440.74x = 254,278.22
  5. Step 5: Solve for x
    x = 254,278.22/440.74
  6. Step 6: Final answer
    x = 576.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.