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Finding the Fourth Proportional to 470.14, 704.76 and 307.96

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Solution

The fourth proportional to 470.14, 704.76 and 307.96 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 704.76 = 307.96 : x
  2. Step 2: Convert to fraction form
    470.14/704.76 = 307.96/x
  3. Step 3: Cross multiply
    470.14x = 704.76 × 307.96
  4. Step 4: Simplify right side
    470.14x = 217,037.89
  5. Step 5: Solve for x
    x = 217,037.89/470.14
  6. Step 6: Final answer
    x = 461.65

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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.