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Finding the Fourth Proportional to 440.34, 606.96 and 346.93

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Solution

The fourth proportional to 440.34, 606.96 and 346.93 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.34 : 606.96 = 346.93 : x
  2. Step 2: Convert to fraction form
    440.34/606.96 = 346.93/x
  3. Step 3: Cross multiply
    440.34x = 606.96 × 346.93
  4. Step 4: Simplify right side
    440.34x = 210,571.12
  5. Step 5: Solve for x
    x = 210,571.12/440.34
  6. Step 6: Final answer
    x = 478.21

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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.