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Finding the Fourth Proportional to 313.67, 469.60 and 296.46

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Solution

The fourth proportional to 313.67, 469.60 and 296.46 is: 443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.67 : 469.60 = 296.46 : x
  2. Step 2: Convert to fraction form
    313.67/469.60 = 296.46/x
  3. Step 3: Cross multiply
    313.67x = 469.60 × 296.46
  4. Step 4: Simplify right side
    313.67x = 139,216.87
  5. Step 5: Solve for x
    x = 139,216.87/313.67
  6. Step 6: Final answer
    x = 443.83

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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.