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Finding the Fourth Proportional to 313.92, 469.66 and 275.11

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Solution

The fourth proportional to 313.92, 469.66 and 275.11 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 469.66 = 275.11 : x
  2. Step 2: Convert to fraction form
    313.92/469.66 = 275.11/x
  3. Step 3: Cross multiply
    313.92x = 469.66 × 275.11
  4. Step 4: Simplify right side
    313.92x = 129,208.16
  5. Step 5: Solve for x
    x = 129,208.16/313.92
  6. Step 6: Final answer
    x = 411.60

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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.