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Finding the Fourth Proportional to 313.98, 473.25 and 296.34

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Solution

The fourth proportional to 313.98, 473.25 and 296.34 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 473.25 = 296.34 : x
  2. Step 2: Convert to fraction form
    313.98/473.25 = 296.34/x
  3. Step 3: Cross multiply
    313.98x = 473.25 × 296.34
  4. Step 4: Simplify right side
    313.98x = 140,242.91
  5. Step 5: Solve for x
    x = 140,242.91/313.98
  6. Step 6: Final answer
    x = 446.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.