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Finding the Fourth Proportional to 440.46, 607.50 and 414.30

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Solution

The fourth proportional to 440.46, 607.50 and 414.30 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 607.50 = 414.30 : x
  2. Step 2: Convert to fraction form
    440.46/607.50 = 414.30/x
  3. Step 3: Cross multiply
    440.46x = 607.50 × 414.30
  4. Step 4: Simplify right side
    440.46x = 251,687.25
  5. Step 5: Solve for x
    x = 251,687.25/440.46
  6. Step 6: Final answer
    x = 571.42

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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.