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Finding the Fourth Proportional to 440.46, 606.96 and 410.94

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Solution

The fourth proportional to 440.46, 606.96 and 410.94 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 606.96 = 410.94 : x
  2. Step 2: Convert to fraction form
    440.46/606.96 = 410.94/x
  3. Step 3: Cross multiply
    440.46x = 606.96 × 410.94
  4. Step 4: Simplify right side
    440.46x = 249,424.14
  5. Step 5: Solve for x
    x = 249,424.14/440.46
  6. Step 6: Final answer
    x = 566.28

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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.