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Finding the Fourth Proportional to 313.42, 469.43 and 305.67

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Solution

The fourth proportional to 313.42, 469.43 and 305.67 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 469.43 = 305.67 : x
  2. Step 2: Convert to fraction form
    313.42/469.43 = 305.67/x
  3. Step 3: Cross multiply
    313.42x = 469.43 × 305.67
  4. Step 4: Simplify right side
    313.42x = 143,489.14
  5. Step 5: Solve for x
    x = 143,489.14/313.42
  6. Step 6: Final answer
    x = 457.82

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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.