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Finding the Fourth Proportional to 464.29, 640.71 and 289.63

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Solution

The fourth proportional to 464.29, 640.71 and 289.63 is: 399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.29 : 640.71 = 289.63 : x
  2. Step 2: Convert to fraction form
    464.29/640.71 = 289.63/x
  3. Step 3: Cross multiply
    464.29x = 640.71 × 289.63
  4. Step 4: Simplify right side
    464.29x = 185,565.63
  5. Step 5: Solve for x
    x = 185,565.63/464.29
  6. Step 6: Final answer
    x = 399.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.