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Finding the Fourth Proportional to 606.41, 910.53 and 346.71

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Solution

The fourth proportional to 606.41, 910.53 and 346.71 is: 520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.41 : 910.53 = 346.71 : x
  2. Step 2: Convert to fraction form
    606.41/910.53 = 346.71/x
  3. Step 3: Cross multiply
    606.41x = 910.53 × 346.71
  4. Step 4: Simplify right side
    606.41x = 315,689.86
  5. Step 5: Solve for x
    x = 315,689.86/606.41
  6. Step 6: Final answer
    x = 520.59

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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.