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Finding the Fourth Proportional to 313.52, 470.71 and 305.74

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Solution

The fourth proportional to 313.52, 470.71 and 305.74 is: 459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 470.71 = 305.74 : x
  2. Step 2: Convert to fraction form
    313.52/470.71 = 305.74/x
  3. Step 3: Cross multiply
    313.52x = 470.71 × 305.74
  4. Step 4: Simplify right side
    313.52x = 143,910.99
  5. Step 5: Solve for x
    x = 143,910.99/313.52
  6. Step 6: Final answer
    x = 459.02

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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.