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Finding the Fourth Proportional to 477.27, 715.91 and 464.31

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Solution

The fourth proportional to 477.27, 715.91 and 464.31 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.27 : 715.91 = 464.31 : x
  2. Step 2: Convert to fraction form
    477.27/715.91 = 464.31/x
  3. Step 3: Cross multiply
    477.27x = 715.91 × 464.31
  4. Step 4: Simplify right side
    477.27x = 332,401.85
  5. Step 5: Solve for x
    x = 332,401.85/477.27
  6. Step 6: Final answer
    x = 696.47

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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.