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Finding the Fourth Proportional to 606.49, 910.20 and 314.23

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Solution

The fourth proportional to 606.49, 910.20 and 314.23 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.49 : 910.20 = 314.23 : x
  2. Step 2: Convert to fraction form
    606.49/910.20 = 314.23/x
  3. Step 3: Cross multiply
    606.49x = 910.20 × 314.23
  4. Step 4: Simplify right side
    606.49x = 286,012.15
  5. Step 5: Solve for x
    x = 286,012.15/606.49
  6. Step 6: Final answer
    x = 471.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.